limit comupting limit using the limit law

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limit comupting limit using the limit law

Calculus1
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\[\lim_{x \rightarrow 1} \frac{ x^4+x^3-2x }{ }\]
not working so Lim x^4+x^3-2x/x^5+2x-3 x->1
Do you mean l'Hôpital's Rule by limit law? In that case take the derivative of both the numerator and the denominator and then take the limit as x goes to 1.

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Other answers:

yes!
I thought I need to factorize first
That can help sometimes, but factorising the denominator is difficult and l'H will crack it anyway...
Whats I`H?
I have to go meeting but I will back later. thanks,
l'H = l'Hôpital's Rule
Do i plug numbers into the equation>?
No, using l'Hôpital's Rule allows you to take the limit as x goes to 1 of the top and bottom separately.
So, after differentiating separately yo now have this:\[\lim_{x \rightarrow 1}\frac{ 4x^3+3x^2-2 }{ 5x^4+2 }\]No 0/0 problem anymore, just set x=1 to see the result.
Ok thank you!
YW!

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