Limits, HELP pls | Mathematics | Page 1

carmine zinc May 23, 2023, 1:43 PM

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Determine whether the given function is continuous or discontinuous. If the function is continuous, find the limit as "x" approaches "a"

f(x) = [x^2-4x+3]/[x-3] ; a = 3

severe cypressBOT May 23, 2023, 1:56 PM

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Mark as read

carmine zinc May 23, 2023, 2:14 PM

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im confused... should i substitute the given value into the function directly or simplify the function first and substitute the value... because im going to get 2 diff answers

drifting thorn May 23, 2023, 2:44 PM

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when you see limits, and the top power is not the same as the bottom power, think factorisation

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typically try factoring with whatever is at the bottom

carmine zinc May 23, 2023, 2:47 PM

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drifting thorn when you see limits, and the top power is not the same as the bottom power, thin...

but i need to find the function first f(3)

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should i subst directly, or simplify first?

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bcs i will get undefined if is subst directly and 2 if i simplify

lost crystal May 23, 2023, 2:49 PM

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f(x) = [x-1][x-3]/[x-3] ; a = 3

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f(x) = [x-1] ; a = 3

carmine zinc May 23, 2023, 2:50 PM

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lost crystal f(x) = [x-1][x-3]/[x-3] ; a = 3

why is symbolab giving me undefined?

idle lance May 23, 2023, 2:53 PM

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carmine zinc why is symbolab giving me undefined?

f(3) is undefined obviously

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but limit exists

lost crystal May 23, 2023, 2:53 PM

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just substitute in the limits now

carmine zinc May 23, 2023, 2:59 PM

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idle lance f(3) is undefined obviously

so it is discontinuous?

idle lance May 23, 2023, 3:07 PM

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yes

carmine zinc May 23, 2023, 3:15 PM

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idle lance yes

thank you im literally crying

#Limits, HELP pls