sin 1(e") 2. lim (- V1-e2

Q: 1-cos x lim sin x x→0

A: Given: limx→01-cosxsinx

Q: (c) cos lim (tan x)°os x x-(플)-

A:

Q: find the given limits

A: The given limits,

Q: lim x approaches zero, sin4x/sin3x

A: Given,

Q: 16. etan (1) sec² (x) dr

A:

Q: cos 2x–1 lim COS х— 1 cos x-1

A: limx→0cos 2x-1cosx-1

Q: lim x→0 (sin10(x)cos(8x))/x=?

A:

Q: 2 xt (* sin) lim sec x lim X→+0 X. 2

A: Given limits are  1) limx→∞xsin2x2)limx→π2secx3)limx→0sinxx

Q: te dt lim 0 x-0 sin x =?

A:

Q: (7) coshx + sinh x = e* %3D

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: T-cosx 2. limx-0 3.limx-0 sinx x2 +1 4.limx-0 x+cosx

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1- Cos(ux) lim x-)0

A: Given expression limx→01-cos4xx2 Recall the identity 1-cos2x=2sin2x limx→02sin22xx2

Q: 1. lim sin -;). x→2

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: lim h-0 2h sin(x² )dx = -2h cos(1) sin(1)

A:

Q: e lim Secx-1 Sinx (-esux) 3}r® २5 ९६० 5x 2 lim ーD6 Sin5x of Sin4x. e lim メーD6 よ + tan 38

A:

Q: 1+sin 2 x 1) Find the derivative of f(x) %3D 2 cos3 x

A: The given function is                                    y=f(x)=1+sin2x2cos3x…

Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

A:

Q: lim x→pi/10  tan(48*x) lim x→0+  sqrtx*e^sin(pi/x) limx→0  x^2*sin3/2x

A: Given the limit :

Q: sin°(,² – 4) (x+2) tan(x+ 2 limy→-2

A: We have to solve

Q: e) lim 1-cost sin²)

A:

Q: (b) lim ln(sin x) x→0+

A: b) limx→0+ln(sin x)

Q: limit x to infinity (1+sin(3/x))^x

A:

Q: 1-cos 2x sin² x limx-0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 7. y= (x²-1) sinh (x+1)ª 8. y= sech (1-x³) 9. y =- tanhx

A: Answer (7): The given function is y=x2-1sinhx+14 using product rule in differentiating above…

Q: x cos (3x – 7) cos(2x+ 7) lim cos(플-x)

A: Limits

Q: lim * In(sec(2x)) x→0 (sin(3x))³

A: To find the limit.

Q: lim sin(1/r),

A: We have to find limit

Q: e-V2x sinh x sin x x dx

A:

Q: 2 lim (x + 6) sin(3x) cot (x² + 6x) X→0

A:

Q: 4. sin 5. y = x ArcCC 1 + v1-x² 2+X 6. y = Arccot x + Arctan 1-2x >| ×

A:

Q: 3 lim z? sin(-

A:

Q: 12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin…

A: Questiopn no. 12,Given,           y=2cos2+x2To find : The first derivative of the function.

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

A: Limit Solved .

Q: sin a COS T Solve by hospital rule lim-

A: after solving we get limit is 1/3

Q: ✓cos x lim x 0 1 cos x - -

A: The given limit is limx→01-cosx1-cosx

Q: 4x 3-limx-0 tan5x sin(cos y) 4-lim, y- 2

A:

Q: tanx 4 – lim 0 Cos[1– –] X 0.7 O 1.5 O 0.5

A:

Q: sin5x(1-2t)dt (6) lim

A: limx→0∫xsin5x1-2tdtx Let  I=∫xsin5x1-2tdt=t-t2xsin5x=sin5x-sin25x-x+x2

Q: 6 lim Sinx ex -1

A:

Q: lim as x approaches 0   x sin(x)/1-cos(x)

A:

Q: 1-cos (x-T) lim x→T(x-T)sin (x-π)

A: Given limit, limx→π1-cosx-πx-πsinx-π

Q: the slope of the tangent. line to: the graph of y=XT COSXY the point (0,1)? What is of: 4=XT COSメ

A: Given: y=x+cosxy

Q: tanx – lim 0 Cos[1 – –

A: Given, -limx→0cos1-tanxx

Q: o( san(s) sin(2x) + lim X 0 cos (x) × 6

A:

Q: V1+ sin (x5) e-y 2(Vx- 1) f-- cos {sin(2x*)} x-2 x2+3x

A:

Q: 1 (sinx\1-cosx lim X→0

A: We need to evaluate limx→0sin xx11-cos x Let y = sin xx11-cos x Then log y = 11-cos x log sin x…

Q: 1. lim 3r+2r+1 X-n Sx2+7x+4 2. lim +sinx

A: See 2nd step