1. Find the limit of the following functions: lim 00x/3+ cos x 1-cosx lim X-0 sin2x

Q: b. Evaluate the following limits: 7x cos)-7x lim- [sin(-2x)sin(5x)sin(7x)] lim 5x2 2x cos(x) X-0

A: We write the given limit in the following format

Q: How do I find this limit?

A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule…

Q: Compute the following: x2-25 lim x-5 i. x-5 lim sin x 1-cos x ii.

A: evaluate the limit in following way:-

Q: 1 lim x? sin 1-cos³ x lim X→0 sin² x csc? x-2 lim п cotx-1 4

A: L'hospital rule: If limx→cf(x)g(x)=00 or ∞∞, then limx→cf(x)g(x)=limx→cf'(x)g'(x). Limit formula:…

Q: 1- cosx lim x-0 sin2x

A:

Q: Find the limits cos 0 lim 0-00 30

A: we have to find the limits,  limθ→-∞cosθ3θ

Q: x+sinx 2. limx00 x+cosx

A:

Q: Evaluate the limit (1 – cos x)² sin² . lim x2(1 – e)4 COS X - -

A: Given limit is : limx→01-cosx2sin2xx21-ex4  To find the value of the limit.

Q: TOLLOWLNY tan x+ 4 tan 2x - 3 tan 3X Lim x°tanx i)lim| cos-cos COS ....coS

A:

Q: use a CAS to perform the following steps:a. Plot the function near the point c being approached.b.…

A: Given: y=2x23-3cosx graph of given function can be drawn as below

Q: (2) lim (cos x)¹/x² b Find the limits for values of x in radian system: (1) lim (cos x) ¹/x² x-0

A:

Q: Determine the following limit: 17x sin(17x) - lim x →0 17x – tan(17x) -

A:

Q: 2. Find the limit of the following function sin(x - 4) lim- x-0 x- 2

A:

Q: Verify that each of the following functions have the stated limits. (i) Identity function: Id: VV:…

A:

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.