Trying to solve it without using L'Hôpital's Rule
#Help computing limits (intermediate form)
pale shore
tacit copperBOT
Trying to solve it without using L'Hôpital's Rule
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pale shore
What?
cosmic lava
I was suggesting using the literal definition of derivation
The derivative is the limit at a given point
But you cannot use l'hospital rules
pale shore
yeah I mentioned that and I already used l' "hospital" rule and got the answer but I can not use it to solve
thanks for helping though
pale shore
nope
cosmic lava
Let me get into it
pale shore
I guess multiplying by the conjugates of the numerator once and the denominator
pale shore
haha yeah I was having it on my mind earlier but I said why not to seek for some help
lemme try it and see
cosmic lava
Send it i am interested
pale shore
the thing is i got other limits probs that i cant solve with l'hopital's
pale shore
Send it i am interested
fine
cosmic lava
the thing is i got other limits probs that i cant solve with l'hopital's
Send
And @ me
pale shore
@cosmic lava
ay man srry for late but im still a latex beginner
,tex $\lim_{x\to 1}\frac{\sqrt{2x-1}-1}{\sqrt{3x+1}-2} \[0.5cm] \frac{\sqrt{2x-1}-1}{\sqrt{3x+1}-2} \cdot \frac{\sqrt{2x-1}+1}{\sqrt{2x-1}+1} \cdot \frac{\sqrt{3x+1}+2}{\sqrt{3x+1}+2}$ \ Evaluating all this results in $\frac{(2x-2)\cdot \sqrt{3x+1}+2}{(3x-3)\cdot \sqrt{2x-1}+1} = \frac{2(x-1)\cdot \sqrt{3x+1}+2}{3(x-1)\cdot \sqrt{2x-1}+1} = \frac{2 \cdot \sqrt{3x+1}+2}{3 \cdot \sqrt{2x-1}+1 }$ \ Then plotting one will give us $\frac{4}{3}$
desert hawkBOT
Halversen
cosmic lava
limits like this
Factorize
cosmic lava
,tex $\lim_{x\to 1}\frac{\sqrt{2x-1}-1}{\sqrt{3x+1}-2} \\[0.5cm] \frac{\sqrt{2x-...
How do you come to 4/3
pale shore
How do you come to 4/3
plotting one will give you 8/6 which will equal 4/3
pale shore
Newton binom
if you mean binomial theorem, i cant use that either
cosmic lava
if you mean binomial theorem, i cant use that either
Can you use maths
,w binome de newton
desert hawkBOT
Requested by adam2463
cosmic lava
,w newton binom
desert hawkBOT
cosmic lava
Fuck wolfram
pale shore
Can you use maths
my teacher's sweating me
pale shore
yeah bro i cant use that, that's the binomial theorem
i only get to use one formula
$lim_{x\to a} \frac{x^{m}-a^{n}}{x^{m}-a^{n}}=\frac{m}{n} \cdot a^{m-n}$
desert hawkBOT
Halversen
pale shore
i dont even know what this formula called and i tried to search online i found nothing
pale shore
limits like this
so basically im trying to make the nominator to be x-2 with whatever exponents on x or 2
pale shore
+close