sin?x-1 10. lim sinx-1 2

Q: 2. f(x) = sin(x) lim sin(x) - et x + 00

A: Calculate the limit and horizontal asymptote in the following way: (2).              f(x) = e-xsinx…

Q: 1+sin x lim

A: Given that,  limx→∞ 1+sin xx To evaluate  limx→∞ 1+sin xx=limx→∞ 1x+sin xx=limx→∞ 1x+limx→∞sin xx=0…

Q: x łan 5x sin? (2x) lim

A:

Q: lim (- %D x2 – 2 sinx + 2x - 1 42 30

A:

Q: sin? (V6x) – x sin(6x) lim x→0

A: Limit at x=0 is 24

Q: x² –4x+4 lim tan? (x² –4) x→2

A:

Q: lim tan? x-x² 30) x 0 x² tan? x .2

A: On apply the limit we get indeterminant (0/0 ) form so using L'Hospital rule,

Q: Q1: Solve Two Only : x sin (x+sinx)" a- limx-0 sin'x b-lim0 X-xcos4x

A: Solve any two

Q: -1 sin (5x) lim

A: The given expression is limx→0sin-15xx the given expression is the indeterminate form 00 Apply L'…

Q: sinx lim x→0 3x

A:

Q: 3x2 + sin(x) lim x(x+ 5)

A: Given rational function is fx=3x2+sinxxx+5

Q: sinx-0.5 I| lim- X- 6 Select one: True False ||

A:

Q: et - e- е limr0 2 sin x

A:

Q: cos x2 - 1 2. Find lim→0 2x 81,341 123

A: Answer and explanation is given below

Q: 10. lim, -6(x-sin'x)(cs scx)' X)( csC X

A: A detailed solution is given below.

Q: lim Va? +1 – Vx² + 2 lim x sin(x) x00

A:

Q: x + 3x - 4 ? 1. What is lim 2 x→2 2. What is lim tan(x)? 3

A:

Q: 2+ sec (3x) (c) lim r>n/6 tan (3x) - 1

A: As student Request (1)c . So i am authoring (1)c.

Q: Find the limit

A: Here the given limit

Q: tan (xy) = ? lim (х, у) ->(1,0) у + 2хy

A:

Q: lim tan?x-x? tanx-x 30) x 0 x² tan x 2. 2.

A: Evaluate: limx→0tan2x-x2x2tan2x

Q: tan( xy) lim = ? 2. (х.у) -> (0,1) х*у+х (c) (с) 3 (d) - (е) 1 (а) 0 (b)

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: 4. lim -0 A. -2/2 B. 1 C. 2 h D. Does not exist sin

A:

Q: ex - 1 7. Find lim x→0 tanx

A: Given : limx→0ex-1tanx

Q: lim,[-6(x - sin' x)( cscx)] CSC X

A:

Q: (=)- lim- sin +sin +..+sin В) -2 C) 0 E) - A) 2 D) 2

A: Consider the provided expression, limn→∞πnsinπn+sin2πn+...+sinnπn The above expression is simplified…

Q: Find the limits

A: We have to find the limit: limx→2sinx2-4x-2 We know, limx→0sinxx=1 since, limx→0sin00=1 So making…

Q: cos2x - 1 Evaluate lim x +0 ex – x - 1

A:

Q: 2 sin x 1 lim is

A:

Q: sin? (x²–4) 2 lim x→-2 (x–2) tan (x+2)

A: I=limx→-2sin2(x2-4)(x-2)tan(x+2)I=limx→-2(x+2)sin2(x2-4)(x+2)(x-2)tan(x+2)I=limx→-2(x+2)sin2(x2-4)(x…

Q: sinx? – sin? x lim x4

A: Solve for the limit

Q: sin? (V6x) – x sin(6x) lim x→0 x4

A:

Q: tan(xy) = ? 2. (х.у) -> (0,1) х*у+х lim (a) 0 (b) (e) (c) (d) - (e) 1 3 -14

A: L'Hospital's Rule: If you have a some function f(x) or g(x) that both approach 0 as x→c…

Q: sin 2x tan 3x (a) lim

A:

Q: tan(xy) lim (х, у) -(1,0) у + 2ху 1 (с) 3 (d) 4 (а) 0 (b) (е) 1

A:

Q: lim sin3x / tan2x =? x-->0

A: find the value of

Q: lim (sin? (x) + sec(x))

A:

Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

Q: lim x-0 sin? 7x 2

A:

Q: lim (sin? x)tanx xn/2

A: We will find the limit.

Q: L’Hôpital’s Rule for ∞ /∞ Evaluate the following limits.

A: Part (a): Given, limx→∞4x3-6x2+12x3-10x+3

Q: 3. lim 0 sec 03D

A:

Q: (c) lim tan5% x2 sin 4x

A:

Q: 5x² - 3x b. lim 7x² +1 sint? d. lim sin 5x f. lim 0-x

A:

Q: e* + e-x – x² –- 2 lim sin? x – x2 х — x→0

A: To evaluate: The limit limx→0ex+e-x-x2-2sin2x-x2. Calculation: Use L'Hospital rule to evaluate the…

Q: 1 – sec(2x) 6. lim x→0

A: Topic:- limit calculation

Q: sin? (r² – 4) lim 1-2 (r + 2) tan(x² + x – 2)

A: To evaluate the given limit.

Q: 4sinx pute lim,x»n sin2x

A:

Q: tan(хy) = ? x²y (х, у) -> (0.1) х*у+х ¯y+x lim

A: