3 lim - 1 x² + x – 2) X-1

Q: Find the limit lim 4. -1x1 4+x

A:

Q: lim Sin tx) In C6an)

A: limx→ 0+sinxln6xmove sin x to the denominator limx→ 0+ln6x1sinxWhen we plug in 0 for x  then we get…

Q: Use l’Hospital’s rule where applicable to find each limit.

A: To solve: limx→∞xlnln x

Q: 2 cos(4x) – 4x² – 2 lim *-о sin(2x) — х2 — 2х

A:

Q: Find the limit analytically

A: Given, limit function is

Q: Use L’Hospital's Rule to find x2 (a) lim x→0 2-2cos (x) (b) limx→o+ (1 - 3x)1/x 기

A:

Q: lim x3 In(x) X→0+ to

A:

Q: 1. a) lim cot x n2x b) lim(tan.

A:

Q: 3e*+0 + x? lim →-3 x3 + 6x2 + 9x

A: "Since, you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the limit lim (1+ x)x X.

A: We can find the limit as below,

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.