Limits: idk how to do this one | Mathematics | Page 1

prisma willow Sep 16, 2024, 1:11 AM

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Help 😞

true idolBOT Sep 16, 2024, 1:11 AM

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prisma willow Help 😞

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naive sparrow Sep 16, 2024, 1:13 AM

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prisma willow Help 😞

💀

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have you leaned derivatives yet

prisma willow Sep 16, 2024, 1:17 AM

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naive sparrow have you leaned derivatives yet

Yes but honestly I don’t remember

naive sparrow Sep 16, 2024, 1:17 AM

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oh well there is another method

untold kindle Sep 16, 2024, 1:17 AM

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well first try to get everything into one fraction

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then cancel a factor out

naive sparrow Sep 16, 2024, 1:18 AM

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$\frac{1}{x}-\frac{1}{7}=\frac{7-x}{7x}$

jade raptorBOT Sep 16, 2024, 1:18 AM

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;(

naive sparrow Sep 16, 2024, 1:18 AM

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there is your hint

prisma willow Sep 16, 2024, 1:19 AM

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I think I tried that but when I plug 7 in the denominator like in the whole function it gives me a 0

untold kindle Sep 16, 2024, 1:20 AM

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well youre forgetting that its a complex fraction

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you forget the x-7 at the bottom of that other fraction we showed you

naive sparrow Sep 16, 2024, 1:20 AM

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well

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whole thing is divided by x-7

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like $\frac{\frac{7-x}{7x}}{x-7}$

jade raptorBOT Sep 16, 2024, 1:21 AM

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;(

untold kindle Sep 16, 2024, 1:21 AM

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yeah

naive sparrow Sep 16, 2024, 1:22 AM

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or $\frac{7-x}{(7x)(x-7)}$

jade raptorBOT Sep 16, 2024, 1:22 AM

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;(

naive sparrow Sep 16, 2024, 1:22 AM

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so does this simplify?

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@prisma willow

prisma willow Sep 16, 2024, 1:22 AM

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naive sparrow so does this simplify?

Wym by this?

untold kindle Sep 16, 2024, 1:23 AM

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prisma willow Wym by this?

like

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can you make it simpler by canceling things out

naive sparrow Sep 16, 2024, 1:23 AM

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does the fraction simplify

untold kindle Sep 16, 2024, 1:23 AM

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or make it “neater”

naive sparrow Sep 16, 2024, 1:23 AM

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^

prisma willow Sep 16, 2024, 1:23 AM

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I don’t think so?

untold kindle Sep 16, 2024, 1:23 AM

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hmm

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youre wrong on that

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it does but what cancels out

prisma willow Sep 16, 2024, 1:24 AM

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Tbh I can’t see it 😔

naive sparrow Sep 16, 2024, 1:24 AM

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yes

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okay gee

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think about the signs

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in 7-x and x-7

prisma willow Sep 16, 2024, 1:25 AM

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Then what

naive sparrow Sep 16, 2024, 1:25 AM

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what can you do to turn 7-x into some multiple of x-7

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literally the fattest hint i can give

prisma willow Sep 16, 2024, 1:27 AM

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-1?

naive sparrow Sep 16, 2024, 1:27 AM

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yes

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so 7-x would be?

prisma willow Sep 16, 2024, 1:28 AM

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-1(x-7) ?

naive sparrow Sep 16, 2024, 1:28 AM

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yes

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now plug that into equation

prisma willow Sep 16, 2024, 1:29 AM

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Is that how they cancel out

naive sparrow Sep 16, 2024, 1:31 AM

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yes

prisma willow Sep 16, 2024, 1:31 AM

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Also

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Do I also have to put the -1 into the numerator?

naive sparrow Sep 16, 2024, 1:33 AM

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lemme see

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$\frac{-(x-7)}{7x(x-7)}$

jade raptorBOT Sep 16, 2024, 1:34 AM

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;(

naive sparrow Sep 16, 2024, 1:35 AM

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@prisma willow ez cancellation

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so $\lim_{x\to{7}} \frac{-1}{7x}$

jade raptorBOT Sep 16, 2024, 1:38 AM

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;(

prisma willow Sep 16, 2024, 1:40 AM

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Ok

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I see it now

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So is the limit -1/49

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Anyways thanks

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+close

#Limits: idk how to do this one