Find the value of lim ((n + 1) cos (n + 1) cos¯¹ (1) − n) n

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: 4 - 4 cos (60) 0 0 0 tan (60) 3. Find lim

A:

Q: Find the limit: 5 cos(n) (8n-1)(n+10)) lim + n- 00 in 9n2+n+3 ||

A: on solving this we get the

Q: ...... 19. Find the general solution of the differential equation 2x2 =x² + y² dx

A: We have to solve given problem:

Q: -t 2 lim 8 cos t ||

A: Given  The limit is limt→π2t2-π2t8cos t

Q: ex –(x+1) lim X→0 COSx-1 -1 1 -2 O O O O O

A: limx→0ex-x+1cosx-1

Q: 1 o. = 0. Show that lim x² sin -| *

A: Use the property that -1≤siny≤1. Take y=1x, then -1≤sin1x≤1

Q: Find the 2x -3 lim 4x +1 DNE O 1/2 2. What is the

A:

Q: a. i=4 2 i=1 b. lim X48 i +1 3 5+2-* c. lim 848 3 5 + 2x drug and

A:

Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule.

Q: .2 Find lim x+Vx +5x X→-00

A: To find:-

Q: Please

A: To find:

Q: B: prove that lim cos0 = 1 ||

A: We have to prove that

Q: Te (e) lim cos 6.

A:

Q: where m, n Evaluate lim X/2 cos nx +0 are integers.

A:

Q: lim cos x→1 х — 1

A: Given, limx→1cos x2-1x-1

Q: 1 lim (2 x→+∞ x3 Select the correct response: |

A:

Q: TOC Evaluate the lim cos 3

A:

Q: Q1 : limx¬1 x(1 – cos-)

A: To find the limit

Q: Q1: lim,-1 x(1 – cos-)

A: The objective is to find the value for limx→1x1-cos1x Since the given function is continuous…

Q: Find the value lim (cos z) z 2-0

A:

Q: B) Find: 1) The value of 2) lim (cos(3)** X48

A:

Q: Calculate the following 212 5i + 3n lim 3n3 i= 8n2 T 00

A:

Q: Q27. The value of lim x-0 (1+x)5-e5x+sin x² x2 is? →

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Q: Find the values of a, b, c so that a e* -b cos x + ce* lim 2. x sin x

A: Given; Limx-0 (aex- bcosx + ce-x)/(xsinx) = 2.

Q: 1. Find lim,→0 k e'

A:

Q: limr→(1 − )tan =N x

A: Concept: Limit of a function: Think about the f function (x). X must have values ​​close to the…

Q: Obtain the limit of|| (n+l) cos lim = lim (n+1)! Cos 学) (e+l)e n! cos( = lim n- (n+1)! cos() n!(1)…

A: They did not cancel out . We only put the value 1 in both  function

Q: 4. Evaluate lim (cos x) ¹/2². 2-0

A: