5. x sin 3) lim00 x+1

Q: Find lim (1 + sin5x) cot3x x-0+

A:

Q: tan 2x 9. lim 2x

A: Explanation of the answer is as follows

Q: lim X->2 x²+3x-10 x²-4 = ?

A: To Find :The above limit

Q: 1. lim 2x

A:

Q: x-1-2 2) lim 1 1 Xー 2 2,

A:

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

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

Q: Find: tanx-sinx d) lim x3 4.

A:

Q: 111. lim cos x -2

A: To find,

Q: find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

A: We have to find the following limit      alimx→1x4-1x2-1       blimx→010x-3sinxx

Q: 1 lim x→-7- x2(x + 7)

A:

Q: 1 2. Lim x0x 1 sin x

A: Given:      limx→0+1x-1sinx simplifying we get     =limx→0+sinx-xxsinx Apply L'Hospital's Rule:…

Q: '5x2+3х-1) lim = 4x2+5) n-00

A: Divide the numerator and denominator by the highest power i.e. x^2 and simplify the limit.

Q: 5x"+x lim メ→ -0 -8

A: To evaluate: limx→-∞5x4+xx2-8

Q: 5) lim X-2 Sin (3x-6) 2-x

A: We have to evaluate the limit of the following:

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

A:

Q: 9. Simplify sec² x - 1 sec² x

A: secx=1cosxI=sec2x-1sec2xsin2x+cos2x=1

Q: lim (1+ tan 3x)*

A:

Q: 4) lim x cscx

A: SOLUTION

Q: 4. lim 3 sin (tan¹x)

A:

Q: 1 lim 2 -1 x* -1,

A:

Q: Lim 3 128 2 J

A:

Q: 2x3 6) lim- 3--3X²-4

A: we need to evaluate the expression limx→∞2x33x2-4 limx→∞2x33x2-4=2limx→∞x33x2-4

Q: b) 49-(5+ x)² x-2 lim-

A: Use L.Hospital rule to evaluate above limit as in next step.

Q: (1 1 Calculate lim X-+ x sinx

A: Find the limit

Q: sin? x+sin 2x -2 1= lim Q3/ Find the value of (x) if 5 1 2 3x 1 X→0

A:

Q: 1. lim x-2 (2x + 3)

A: 1. To find the given limit limx→ 22x+3

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: 2) lim x² +49 X→ 7 X+7

A:

Q: Find Lim 5e*-2x x-0 A. 5e C. 5 D. 0 B.

A: Solution