1.1 Show that if |z| < 1. then lim z" = 0. %3D 1.2 Show that lim Vn = 1.

Q: 3 – lim[sec x · tan x]

A: given limit                         limx→π2[secx.tanx]

Q: 2.2 a) Prove that lim,-2(x +2x – 7) = 1 using the e- ô definition of a limit. b) Find lim,-2 arccos…

A:

Q: (5х-4, E If f(x) = 0<x <1 show that lim f(x) exists. %3D 4x - 3x, 1<x<2

A:

Q: Find the limit of lim-

A: Solution: The objective is to find the value of the given limit

Q: 1.1 Evaluate the limits (csc x -) i) lim (SC X

A: As per our guidelines, we are supposed to solve one question. Pleaserepost the remaining question…

Q: Find the limits

A:

Q: 2. Evaluate lim,→03 +t² sin(t³ +) using limit laws. Give reasons for your answer.

A:

Q: x-Arcsinx lim x3 1 lim X0 sin?x 1 x2

A: (a). We have to find:   limx→0 x-sin-1(x)x3

Q: 1 1 lim xV1+x

A: limx→01x1+x-1x=limx→01-1+xx1+x

Q: Q/Find the solution of the following question Lim hyo h "(. +h -1)

A:

Q: 3 Find the limits For the Following functions by Using L'tHopitals Yale:- Lim 5x-3x x CGsx -1)

A:

Q: Show the na

A: To prove that:                   ∫abF(x)dx=limn→∞ U(Pn,F)

Q: Evaluate lim(z – 1) e if it exists; if not, explain why. 2-1

A: Consider the given function whose limit is required to calculate.

Q: #5. {valuate lin

A:

Q: Q \ Find the value of 8 > 0 that guarantee lim x-0 csc(1/x) = 0 in terms of ɛ?

A: Definition of limit: We know that, limx→af(x)=L               ...(i) For each ϵ&gt;0, there exists a…

Q: Findl limit graphically. Use Sandwich theorem to confirm your answer lum ²Cos (12) X40

A:

Q: O lim Sop of Sn= 61)" (24 ) is ?

A:

Q: roblem 5: calculate: lim | sin" rdr

A: To calculate: limn→∞∫-11sinnxdx

Q: Find the limit or determine that the limit does not exist limx→2 (sin(pi/2 times x)/cos(pi times…

A: We have to determine whether the limit exists or not for the following expression…

Q: sin az 15. lim, 0 sin bæ

A: