a. lim x→0 b. lim x-0 sin(x)+1 5x+e²+(x-1)² tan(-x) 2x Q4 Compute the following limits sec(x + 4) c. lim ✓2x+2-2 =

Q: 3. Let f(2) = if z + 2i, while f(2i) = 3+4i, is f(2) continuous at z = 2i? 2- 2i 4. Evaluate lim (az…

A: 3)Given:

Q: Q:Discuss the continuity of the function f(x) =lim+ sinTt x)" - 1 n- (1+ sinTt x)" +1 at the point x…

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Q: Determine lim f(x) assuming that cosx < f(x) < 1.                   x→0

A: We first apply limit x approaches 0, on all sides of the given inequality.

Q: x(cos(x) – 1), x0 sin(x) – x Evaluate: lim-

A: It is given that,  limx→0xcosx-1sinx-x We have to evaluate it.

Q: A. Evaluate the following: NO Differentiation 1. lim(x³ - 2x² + 3x-1) x->2 2 lim (4 + 3r²-2r+5)

A: To evaluate the limit of the given function

Q: Find the value of the limit lim SINX X 0 2x 02x (a) 0 (b) 1 (c) 1/3 (d) 1/2 (e) 1/4

A: Here we have to find the limit of the function. In the first step use the property of the limit:

Q: tan(sin(ra)) tan(т(»—100)) Find lim

A: The objective is to evaluate the limit.

Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

A:

Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

A:

Q: The limits of the following two expressions are: 1 1 3. x' +x-6 (a) lim x-3 3+x (b) lim x2 x-2 A.…

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Q: Find the value of lim sec 3. 2 Select your answer. 2/3 3 3 2/3 +3 3 2/3 – 3 3. 2/3 3 3

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Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

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: lim x→0 x⁹⁹ sin (7x) (sin x) 100

A:

Q: S e?+tdt lim 2-40 sin(2x) +

A:

Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: lim f(x)=-5 f. f'(-3)=0 а. g. f'(-2) is undefined h. f(-1)=2 i. f'(-1)=0 j. f'(3)=0 b. f'(-5) is…

A: When there's no tangent line and thus no derivative at a sharp corner on a function

Q: 3. Find the limit. tan(5x) 0 sin(3x) sin(6x) (2) lim x04x-5x (1) lim

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Q: x+1-cos²(x) 3sin(x) 7. Find lim

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Q: **. (1) lim,- V1+cos 2x 4 (x-) Q3) Find:

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Q: B. Prove the following: NO Differentiation 16-x 4. lim 1x16√x-4 = -8 sin 5x 1 x→0 sin 10x 2 5. lim…

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Q: Q2: Evaluate: [1] 21 lim m COSXVI+ COSX – v1-x, sin-1(x) V1+x - [3] lim-o

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: Find lim (sin(x))*) x→0+ Select one: O a. | O b. 1 O c. 0 O d. T

A: By definition of limit by putting x=0 on the given function we get the solution

Q: 1-sinx x²-49 b. lim x→7 x-7 lim C. lim X→00 x²+1 a. X 1-cosx

A:

Q: O lim tan(Vx) x² – x x→0+

A:

Q: Find the following: x1/3 + 9x1/5 (2х — 1)1/2 — 3 - i. Lim 6x1/2 – 4x1/4 ii. Lim x→5+ х — 5

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Q: 384. lim sin x-x x-0 x²

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Q: Find Lim- 3x-6 x-2 x²-4' A. ∞o C. 34 Select one: ос O B О А B. D. +13 010

A:

Q: tan(31x) lim x → 0 5x

A: