Use L'Hôpital's Rule to evaluate the limit L.

Q: Evaluate lim f(x), lim f(x), and lim f(x) at the point a = 5, if the limits exist. (If an answer…

A: Given function : f(x) = 10 -x  if x ≤5 f(x) = x + 3 if x > 5

Q: lim (x 1/2 ln x) X→∞

A:

Q: Use L’Hôpital’s Rule to evaluate the limit.

A: We have to use L' Hopital' s Rule to evaluate the limit limx→∞1+4xx

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

A:

Q: 2x?-8х+7 x 0 x-6x3

A:

Q: Find the limit analytically

A: Given, limit function is

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: √x+h-√r (a) lim x-x³-x+1 (b) lim-2x + 32¹-3x³ - x² + 3x - 1

A: See the details solution in below to

Q: I-1² ( ²7 ) ₁_²01|1 - 1² || lim, 07

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…

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.