sin (sin h) 36. lim h→0 sin h

Q: d) lime tan 0 sin 0 3. e) lim0 sin z-cos z+1 3z

A: We have to find the limits .

Q: lim (cos(9x)) (+) +0+x

A:

Q: lim sin(x)d.x (x2 + e2)2

A:

Q: lim x approaches 0 ................ (1 + x + sin x) / (3 cos x)

A:

Q: 8 sin 3+ 5/ is equal to The number lim | sin(x) dx E. 5. 8 sin(x)dx 8 | sin(x) dx 3. 0 8 8. sin(x)…

A:

Q: lim cos x→0+

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

Q: 5. lim tan x cos y = 1 (x,y)→(,0)

A: To show :  lim(x,y)→π4,0tan x cos y = 1

Q: Find the limits

A: Given: Function  To Find: Limit of the function at the given point

Q: Find the limits

A:

Q: lim (x, y)-(0,7/4) sec x tan y

A:

Q: sin(2x) limy→ 0+ X

A: Given:     limx→0+sin2x2

Q: sin x cos 4x 32) lim X0 X+X cos 5x

A: Consider the given limit

Q: lim + sin(x)cos(x) 1+ In (x)

A:

Q: lim sin(x)dx (x² + e²)²

A:

Q: Evaluate the limit.

A: Given that, limh→0sin(2h)(1-cos h)h2 Because of the direct substitution of h = 0 into this, we get…

Q: Find the limit

A:

Q: limx→0  xcos(x)-sin(x)/x^3

A: Given: The limit limx→0xcosx-sinxx3, To find: The value of the limit.

Q: tan2(3 + Ax) – tan? 3 (c) Compute lim by interpreting it as a derivative. Ar+0 Ar

A:

Q: (b) lim ln(sin x) x→0+

A: b) limx→0+ln(sin x)

Q: 2 |-cos X lim b. X - Sin x

A:

Q: e-3sin z (c) lim x² (d) lim sin(rx) lIn (x – 1) x→1+

A: The given limit is: (c) limx→∞e-3sinxx2  To find the value of the limit.

Q: lim a sin(1/2),

A: Given,           limx→0xsin1x

Q: lim (sin x)tanx TT 2

A: We will solve the problem

Q: lim cos x + x cos a. 0 b. 1 d. does not exist

A: This question is based on Squeeze theorem.

Q: tan x 2. (a) lim e →号一 (b) lim sin (tanh 3x) エ→十0

A: limx→π2-etanx

Q: Find the limits

A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.

Q: sin 5z-sin 3z 14. lim,» +0 sin z

A:

Q: sin(cos y) y 4-lim, 2

A: Limit Solved .

Q: sin 3y cot 5y Evaluate limy-0 y cot 4y

A:

Q: 2x tan x+ cos I COS T lim

A:

Q: 21. lim (x.y)-(0,0) x2+y2 22. sin( x* +y?) lim (xy)-(0,0)

A:

Q: Find the limit

A:

Q: (a) lim tanh(x) (b) lim tanh(x) (c) lim sinh(x)

A: As per our guidelines, we are supposed to answer only the first three subparts. Kindly repost other…

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

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

Q: 2²+ cos(x) x 0

A:

Q: lim(z – 1) csc TZ Is

A:

Q: cos (x + h) – cos x f'(x) = lim h0 57. h cos x cos h – sin x sin h – cos x lim h sin h cos h = lim (…

A: Given: f'x=limh→0cosx+h-cosxh

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(2h)(1 – cos h) h2 lim

A: Consider Then simplify the function

Q: et Lim x-0 +e³-x²-2 sin² x-x²

A:

Q: tan( xy ) lim (x,y)→(0,1) x´y+x 2 |3|

A: Given function is limx,y→0,1tanxyx2y+x

Q: lim (x,y)→(0,0) x² + sin?(y) x² + y?

A: Given: lim(x,y)→(0,0) x2+sin2(y)x2+y2

Q: lim cos(x) X- +x 3 TC 2.

A:

Q: tan(3z) lim 5z z-0 sin(n)(1-cos(h)) lim h-0 sin(h)(1-cos(h) lim h-0 h3

A:

Q: tan x lim tan 3.x X → T/2

A:

Q: lim cos x f(x) f(x)

A: Answer :-  Given limit x tends to π then cosx is what.

Q: lim(x,y)->(0,0) = (1+x2+y2-cos(x2+y2))/(x2+y2)

A:

Q: lim sin(2z) = z-/3 %3D /3 2. 1/2

A: We need to find limx→π3sin2x