tanx - 1 The value of lim is the same as x+ T/4 sinx - cosx A lim cosx x+ T/4 lim secx x- T/ 4 lim (sinx + cosx) x+ T/4 1 D lim x- T/4 sinx + cosx (E None of the given choices

Q: sin? 0 sin 2x tan´ x 2. limøseco 3. lim 0→0 1 – cos 40 4. lim- x→0 sin 3x 5. lim -

A: Solution

Q: lim エ→ミ e2: 1+ tan lim r エー sec x

A: limx→z z3e2z=z3e2z (The function is independent of x.)

Q: х+ sin 2x lim х-2 х — sin 2x O 2 О 13 O -3 О 12 O other:

A: To find: limx→2 x+sin2xx-sin2x

Q: Find the limits

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Q: tanx The value of lim is the same as X+o sin2x 1 A lim x+ 0 2cos?x B 2sinx lim COSX В X+0 C cosx lim…

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Q: How do you solve this?

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Q: Find the limit

A: We know that cos0=1  For x=0-, cosx will be less than 1.  So, |cosx-1|= -(cosx-1)= 1-cosx for x=0-…

Q: V3x2 + 6 f) lim x+0 5 - 2x g) lim 4x2 -х + 2х x--0 x2 h) lim x-+0 1- cos2 x tan 7x i) lim x-0 sin 3x…

A: ' According to the guidelines issued by the company we are supposed to answer only first three…

Q: cot2 3x lim (sec' 2x)o x-0

A: Given: L=limx→0sec32xcot23x

Q: X-T 2. Find lim X→T sin x х-sinx 3. Find lim x3 X→0 e3x- e 5x 4. Find lim tan x-x 5. Find lim x→0…

A: Consider the following limit: limx→πx-πsinx Use L'Hopital's Rule:…

Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

A:

Q: 13. Determine lim sin x. x→0 A. 1 B. -1 14. Determine lim sin x. x-72 A. 1 B. -1 15. Determine lim…

A: 13. limx→0 sin x14. limx→π2sinx15. limx→-1ex+1 Note:     Multiple parts are given, we are answer…

Q: sin 2x d) lim- x+0 sin' 3x e) lim- x-0 tan' 2x 2 tan x f) lim- x-0 x sin 3x g) lim- sin 5x i) lim-…

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Q: Trigonometric limits Evaluate the following limits or statethat they do not exist.

A: Consider the provided expression, limx→0sinaxbx Find the limit of the above expression. Apply the…

Q: tan 3x Find lim x→0 tan 2x

A: We have to evaluate limx→0tan3xtan2x We know that limx→0tanxx=1 And Quotient rule of limit states…

Q: sin (x – 4) x < 4 Let F (x) cos (x – 4) 4< x Find lim F (x). x4+ lim F (x) = x→4+ %3D

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Q: tan 3(x+h)-tan 3x 11. The lim A. 3 sec(3x) tan(3x) В. 3 sec? (3x) C. sec²(3x) D. 3 cot (3x)

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Q: x2-sin 3x A/ Write the Sandwich theorem and applying it to find lim x2+10 if -1< sin 3x <1

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Q: sinx-x 2. Evaluate lim sinx-x 극한값 lim 을 구하여라. 1 1 1 - 6. 6. /-

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Q: lim-o t- sin 3t² 1-cos 2t

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Q: sin (ax) tan (2x) (i) If lim 3x = 5 = lim find the values of a and b. X→0 x→0 bx-x sin(2x) – sin…

A:

Q: sin(3 – x) lim x→1 x2 – 5x + 6

A: Explained below

Q: sin TX Q.3 Find the lim, 0 sin 3x

A: the given limit is: limx→0sinπxsin3x we have to evaluate the given limit.

Q: x² - 4x +4 (a) lim (b) lim(vx² +3 – x) x2 X+x-3 X +0 V5x? -2 tan 7x (c) lim (d) lim sin 3x ( Do not…

A: Recall: If Right hand limit and left hand limit both exists and equal then limit exists.  i.e,…

Q: tan3x 6. lim X-0 tan4x

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

Q: sin x 4. lim x0 et In x 6. lim

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Q: lim 15 cos() x→0+ 7x

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Q: lim sin- is x-0 None of these -1 nonexistent infinity 1 lim x csc x is x-0 infinity O -1

A:

Q: sin(5x) Evaluate lim X→0 2х

A: lim x→0 ( sin5x)/2x   We know that Lim x→0  (sin x) / x = 1   Lim.    5/2 ×    ( Sin 5x ) /5x x→0 ​=…

Q: evaluate the limit.

A: Given:

Q: Indeterminate Form sin x 1. lim- x->0 x² x² + x 2. lim. xxx+4 3. lim 1 1+ cos2x 2x-1

A: Given the list of limit functions we have to find the indeterminate form of the given limit…

Q: lim sin 1- 1

A: Given limit, limx→-∞sin1x

Q: sinx (1-cosx) 10. Evaluate the lim 2x2 A. -1 В. О C. 1 D. e

A: It is given that, limx→0sinx(1-cosx)2x2 But here as you can see that if you plug in x=0 in the given…

Q: Evaluate. limx---> 0 tan x - x/ x^3 show the steps in paper

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Q: 35. lim (sec 2/2 x – tan æ)

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Q: sin3 (x) Find lim х30 х-хсos(4x)

A: To evaluate the given limit.

Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c)…

Q: 2 sin(z) – sin(2z) lim -10 z- sin(z)

A: We use L'Hospital rule to solve this limit problem.

Q: tanx The value of lim is the same as sin2x X+0 2sinx lim COSX A 1 В lim x+0 2cos?x COSX lim 2sinx…

A: We will solve the problem

Q: sin 2x tan xsin 4x 2. Determine lim You may NOT use L'Hospital's x2 sin 3x rule.

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Q: sin (3t) (d) lim 1-0 sin (8t) sin (x-4) (е) lim x→4 х—4 cos (2z)-1 (f) lim-

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Q: tanx-1 x-n/4 sinx - cosx is the same as The value of lim none of the given choices lim m/4 sinx+…

A: Limit

Q: x+xcosx A: lim x-0 sinx cosx tan2(3x) B: lim x-0 x² 1-tan?x C: lim zcosx-1)

A:

Q: sin(6x) Evaluate: lim 1-oL sin( 4x) A B0 1

A: we have given that limx→0[sin(6x)/sin(4x)]

Q: sin(2x) – sin (2a) Find lim x-0 x - a

A: we have to find  limit

Q: tanx - 1 The value of lim is the same as x+ T/4 sinx – cosx 1 A lim x+ T/4 sinx + cosx В lim (sinx +…

A: