Question

limit comupting limit using the limit law

Answer 1

\[\lim_{x \rightarrow 1} \frac{ x^4+x^3-2x }{ }\]

Answer 2

not working so
Lim x^4+x^3-2x/x^5+2x-3
x->1

Answer 3

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.

Answer 4

yes!

Answer 5

I thought I need to factorize first

Answer 6

That can help sometimes, but factorising the denominator is difficult and l'H will crack it anyway...

Answer 7

Whats I`H?

Answer 8

I have to go meeting but I will back later. thanks,

Answer 9

l'H = l'Hôpital's Rule

Answer 10

Do i plug numbers into the equation>?

Answer 11

No, using l'Hôpital's Rule allows you to take the limit as x goes to 1 of the top and bottom separately.

Answer 12

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.

Answer 13

Ok thank you!

Answer 14

YW!