(sin 3x)(sin5x) 12. lim 7x2

Q: 9. Lim 6x - Sin 2x メ→0 2x +3sin 4X b. lim x²-1 1/2

A:

Q: sin 5x 1. limx-0 2x2 +3x 2. limx→0 x3+x+1

A: 1).limx→0 sin 5xx2).limx→∞ 2x2 +3xx3 +x+1

Q: х-tanx 2. lim х30 1-со 3 3. lim sinx lnx = 0 x→0+

A:

Q: Lim メーラル sin2x x² 2.

A:

Q: cosh²x-sinh² x = 1

A:

Q: Lim Sinx 2x メ→0

A: lim (x->0) sinx/2x

Q: 2 -x² + 2x – 7 lim sin 2x5 – x3 + 2x

A:

Q: -1 sin (5x) lim

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

Q: How did limx->π/2 = sin (2x) / x become 0?

A:

Q: x cosx-sinx lim x2sinx 1 1/3 3 -1/3 4 -7 2.

A:

Q: 2Tan 'x -x 9. lim, 2x – Sin^x

A:

Q: limx->0(sinx/3x)

A: The given expression is,

Q: sin 5x lim, X→0

A: Given, limx→ 0sin5xx   Apply the L'Hopital's Rule: limx→ 0sin5xx=limx→ 0cos5x· 51

Q: x-sin 2x Find lim 2х

A:

Q: lim 3X Sin 13

A: This is of indeterminate form.

Q: lim (3x + 1) sin(2x) 4x2

A:

Q: q-Sin ²1x1 1²/x/_alx

A:

Q: x+2 lim sin - x+6x+8 3 2.

A:

Q: cos2x- sin2x cos2x F(x)+C: What is Fx)? For dr = - 3 cosx - sinx

A: A detailed solution is given below

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

A: We have to solve

Q: 1 lim (1 + sin²x)x

A: We have to solve the given limit: limx→01+sin2 x1x This is 1∞ indeterminate form of limit we know…

Q: xtan x Solve for the lim X0 sin 3x

A: Given : limx→0x tanxsin3x   To find : Solution of the given limit?

Q: how do I solve this problem ?lim x-0 1-cosx/cos^2x-3cosx+2

A: First we use substitution property of limit, and that's given an undetermined form.Then we use…

Q: Find the limit.

A:

Q: lim a sin(1/2),

A: Given,           limx→0xsin1x

Q: sin(3x – 3) lim x² – 1

A: Given :

Q: lim sin(5x) csc(3x) X-0

A: Formula: LimX→0[sin(ax)/x]=a

Q: lim sin(1/r),

A: We have to find limit

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

A:

Q: 2x sin-1 lim х30 еx — х — 1

A:

Q: sin(4z) 7. lim I-0

A:

Q: sin? (V6x) – x sin(6x) lim x→0 x4

A:

Q: cosxsin2x lim 1-sinx x- 2

A: limx→π2cos x sin2x1- sinx=limx→π2cos x 2 sinx cosx1 - sinx=limx→π22 cos2x  sinx1 - sinx…

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

A:

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

A: find the value of

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

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

Q: 44. lim sin² x 7/4

A: The limit is, 1/2 The detailed solution is as follows below :

Q: sec2x-2taпх lim X→T/4 1+cos4x

A: Consider the given limit limx→π4sec2x-2tan x1+cos4x   limx→π4sec2x-2tan x1+cos4x=00 Which is…

Q: lim 3x2 sin(-)

A:

Q: х(4+sin 6x) 3. lim X→+0 х+1

A:

Q: limx→0 sin 2x 2x²+x

A:

Q: Sin²X+SIN 2X 1)Lim 5X x → 0

A: Here we find limit

Q: sin 7x 2: lim 0 4x

A: Topic = Limits

Q: sin(2x) – 2x + lim x5

A:

Q: 10 sin(4x³) 12x8 lim X→0

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (cos(3x+ 1))² lim 7+ 4x

A: our objective is to find the limit