sinh x Evaluate lim et

Q: sin Ɔx lim- 1+0 tan 9x lim(e +x)

A:

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: et +e-& – 2 Evaluate L = lim Hint: use L'Hospital's Rule. 1- cos x |

A: Use L hospital rule

Q: Evaluate: lim (sec z sin z)ot z

A: Note: We are entitles to solve only the first question, unless specified To evaluate :limx→0(sec x…

Q: 5. x sin 3) lim00 x+1

A: limx→∞x5sin5xx4+1=limx→∞ x5sin5xx41+1x4= limx→∞ x sin5x1+1x4 = limx→∞  sin5x1x1+1x4=limx→∞ 5…

Q: tan?x lim

A:

Q: lim cos x→0+

A: Given lim×-0 cos (1/x) For the above limit we have to solve it first

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

A: The objective is to evaluate the limit.

Q: 1 Evaluate the lim sin x>0

A:

Q: 65. lim (cos x)/

A:

Q: cot 5x Find lim x→0 CsC X

A: We have to evaluate the value of The equation (1) can be written as

Q: 111. lim cos x -2

A: To find,

Q: 27. lim (x + cos

A:

Q: E sint Lim

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: e lim tan(x).

A: The given limits,limx→π2-tan(x)limx→π2+tan(x)

Q: (:) -*) Evaluate: lim 1 ба" sin 6.

A: Topic-limit calculation

Q: sin ax lim is x0 tan bx a A. 4 В. а С. О

A: To determine the value of limit   limx→0  sinaxtanbx

Q: lim cot ( x Cannot be determined 1

A:

Q: 3. lim x cot 2x

A: Given,         limx→0xcot2x

Q: sin(x²) x→0 In(cosx) 4. Evaluate lim

A:

Q: coshx Find lim. et

A: Coshx can be  written in terms of exponential as : Coshx = ex+e-x2

Q: cos x lim

A: the given limit is                   limx→∞cos(x)x as the limit applied directly cannot give the…

Q: lim x goes to pi/2 at cot x

A:

Q: 1 Evaluate lim 1 sin

A: The given limit is limx→∞1sin1x Let x=1/z z=1/x when x tends to infinity z tends to 0

Q: lim x cot 2x /

A: We use L Hospital's Rule to find given limit

Q: lim X. Sin () finel the mit by squeeze Theorem.

A:

Q: tan x (iv) lim

A: L =limx→0(tanxx)1x2 1∞ form

Q: 1-sin x Find lim by using L' Hospital's rule x1+ cos 2x

A:

Q: Find lim n→∞ n + cos(x) Jo ne + sin(x) So -dr.

A:

Q: sin 5x f. lim

A:

Q: 9. Find lim sin(a*) sin(3) 10. Find lim

A:

Q: Evaluate: lim (1+2 sinh x)+25

A:

Q: sin(2x) if x +0 f(x)%3D{ 3x if x-0 17 - lim f(x)+ f(0)=1 find the value of 'c'.

A:

Q: Evaluate lim?→0  (1/sin² x)-((sin x)/(x³))

A: Solution: Consider the given limit function is limx→01sin2x-sinxx3 Using the property of the limit…

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

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

Q: Example 8 Prove that sin x lim = 0. X00

A: We have given a question they're asking for how do we evaluate limit for sine x over x when x…

Q: 1 Evaluate: lim (1+2 sinh x)+20 x→+∞

A:

Q: 1+x- sin Evaluate lim x

A:

Q: sin x 3) lim

A: Explanation: Find the limit limx→0sinxx3

Q: sin x lim In(x* + 1) x + o+ O 4 O +00

A: To evaluate: limx→0+sin xln (x4+1) The form of the limit is 00 form.

Q: sin x 3. Prove that lim :1

A: To prove: limx→0 sin xx=1   Theorem Used: Squeeze theorem: If f(x) ≤ g(x) ≤ h(x) and limx→a…

Q: Qr/ lim tanx)

A: Given limit

Q: @ lim Sin 2t Sin 3t too

A:

Q: (뜻)*. lim Siヘx

A:

Q: sin (Te 2. lim

A:

Q: Find the limit.

A: Our Aim is to evaluate limx→∞ x sin 1x -(i)

Q: sin z 1 Evaluate lim,

A:

Q: Evaluate: lim (1+sin 4x)cot ¤ x→0+

A: Topic:- limit calculus

Q: Evaluate lim (sin x)" エ→号一 tan z

A:

Q: 12 sin( In x) (b) Evaluate lim,→1 3+5)(x-1)

A: