. What is lim tan(x)? Why? 2 AY 10 8 6 4 2 -1A -0.5 0.5T, 1.57 27 2.57, 37 -4 -6

Q: Evaluate the following limits: 1-cos¹(x) (i) lim zsin(2x) (ii) lim In (√) +1 2²-1 (iii) lim sin(x) -…

A: Given :limx→01-cos4(x)sin(2x)lim x→1 lnxx2-1lim x→π4 sinx-22cosx-22lim x→01+tan(2x)1x

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A: We have to find the limit Use l'hopitals rule to obtain the limit. Keep on differentiating the…

Q: 5. If b > 0, prove that lim = 0. %3D 1+nb

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: b* – 1 Show numerically that for b = 3 and b = 5, lim аppears to equal In 3 and In 5, respectively.

A: Given : limx→0bx−1x

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A: Our Aim is to find the limit of the following expression given below:-limx→0 2 sin (2x)-xx-(i)

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Q: Evaluate the limits: lim (cosx)cor*x 13. Ans: e12

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Q: Prove ha中 Lim x" an %3D

A: we have to prove that the following

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

Q: Show: ( (|fl2 – €)² < lim sup E If (n) < (I|fl2 + e)² , Where ƒ E C(R | Z; , c) n=-N

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Q: - Show that lim sin a =D0.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: -3k sin() - cos(;)| for k = 1, 2, ... and let A = lim y00 A(k). Then Let A(k) Select one:

A: We have defined a sequence of matrix as  A(k) =  - 3kSin(1/k) - Cos(1/k) e^( -1/k2 )  e^( -k2 )…

Q: 4. Use the sandwich theorem to find the following limits: sin x (a) lim cos x (b) lim

A: a) -1≤sin x≤1⇒-1x≤sin xx≤1x⇒limx→∞-1x≤limx→∞sin xx≤limx→∞1x⇒0≤limx→∞sin xx≤0⇒limx→∞sin xx=0(using…

Q: Find the limit. O 75 π O O' O O I 00 D8 - 150 lim sin¹. 5 x X→ 0 ¹7x

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Q: 3. Compute ahi-fin Lireh-fi for the following functions: and lim h40 a. f (x) = sin x

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Q: Calculate the following limit: 131). lim(1x)ª sin(5). 13л x→0

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Q: Let Fexy=4 Find Lim FAt and Lim FEX) X->2* 2 Does l tM fe) exist? Why zis FM cON tin-noss at X=27…

A: Answer

Q: (c) Prove the value of lim Sin 3a o Cos 4Do NOT use L'Hospital's Rule.

A: The given limit is,

Q: 3 of 20 Select the best answer. (2e + 1)ª lim z+00 (tan(x))- O DNE

A: We have to find the limit.

Q: 1-cos r-r² 1) lim,-0

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

Q: We want to find the limit lim os(2æ) – cos(7x) - x2

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Q: Find the limit. За + 5 lim x→0 x – 4 O -5/4 O DNE O 3

A: Limit problem

Q: 3.lim X→π In(cos2x) (π - x)²

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Q: Prove the following. (b) lim( Vn² +1 – n ") = 0 - (c) lim Vn? n) = } 1 2 ||

A: Prove the following limits

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Q: Find the limit, If it exists. 8 lim 9 cos 5x

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Q: Can you help me step by step?

A: First move the limit inside tan. So that the limit is on terms with t only.

Q: What is the lim→( For answers that are fractions infinity negative infinity 7 sec (7x) cos(3x)?…

A: See the details solution in below

Q: Show that lim |x|cos 0.

A: We have to prove that limx→0xcos1x4=0. Use property, if limx→a−fx=limx→a+fx=L then limx→afx=L. First…

Q: Compute the indicated limits. sin(2x) lim 3x

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Q: What is the limit as t goes to 0 of    4 tan^-1(t)

A: Topic:- limit

Q: エ→2ー Prove that lim sin(1/x) does not exist. Lot II

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Q: Calculate the following limit: lim(1x)4 sin(13a x→0

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Q: Examplesa using the definitin of limait to .2 2. Prove i lim Z =Z

A: In mathematics, a limit is the value that a function (or sequence) approaches as the input (or…

Q: 1. Calculate the following: 12- 4 (a) lim -2 r2-5x + 6 csc(r) (b) lim (cos(r) + cot(r))

A:

Q: Please I want solution of sub-parts question 5 with step by step. Many Thanks

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Q: Show that lim x|cos )= = 0.

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Q: %3D In(1+x) 3.A) lim P-ove tha t マー0

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

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Q: Determine the limit. 5Tt 9) x→-T/2 lim COS cos (tan x)

A: Given  The limit is

Q: Q14. The value of lim et3 -x tan x-cos x x2 is? -

A: use l hospital rule for solving for the integral.

Q: Enter a whole or decimal number, or DNE for does not exist or undefined. |0x| lim (5+10=¹). [ - -0+z

A: Topic = Limits

Q: Find the relationship between e and s needed to prove S=

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Q: Evaluate the limit. 1- r + In (x) lim I+1 1+ cos (3 7 x)

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Q: 4. Find lim (sin¬ V)cschr. r0+

A: The given limit,         limx→0+sin-1xcschx

Q: 2. find: en(x?) a). Lim メ-1 b). Lim 1 - cos "x 1-COS 4x2

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Q: 5x2 + 10х + 1 :0. lim x4 + x? + 1

A: