1 lim In csch (1– 2x,

Q: 2h 4. lim h0 2h S(x) dr

A: Answer and explanation is given below

Q: lim, 1 2²-7x+6 z-1

A:

Q: 42t lim t+0 4 - 1 - 1

A:

Q: 1. lim 2x

A:

Q: 7х + 12 lim x→3 х — 3

A:

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: 17. Let f(x, y) = x'y4. Use Eq. (4) to estimate the change Af = f(2.03,0.9) – f(2, 1)

A: You have to just put the value in the function and proceed....go through the solution

Q: Example 48 lim,→∞(Vx² +x – Væ² + 5) =?

A:

Q: Find Vx² + 8 – 3 lim x--1 x +1

A:

Q: D; Exponential Shifting ,Theorem 2. (D* + 4D+ 4) y- 'o4 e-*

A:

Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: csc 8t lim t0 csc 4t csc

A:

Q: Find limn→∞ Zn, where zn = 2n + 2 n + 2n 2n +1 -i.

A:

Q: - 5. Evalaute lim VI - 3

A: Given,

Q: Find the LCD of [(3/x + 1)and (5/x - 1)]

A: Given:               3(x+1) and 5(x-1)   To determine:            LCD of the given expression=?…

Q: 2x° – 3x"–21 Il -21 lim 13x-4x°+2x

A:

Q: lim In(10x) x-0t

A: To find the below right-hand limit.

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: 2x a. lim x-+3" X - 3

A: limit

Q: 1 2 3 3x lim x→2 x - 2

A:

Q: Find leng th of the Cardioid Vsa6 from e -oto0 - 1 %3D

A: Use the formula of the length of the polar curve. L=∫0πr2+drdθ2dθ Here, r=aθ3 and drdθ=ddθ(aθ3)=3aθ2…

Q: 3x+1 lim 1 sin x)

A: Given,         limx→03x+1x-1sinx

Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

A:

Q: 9. [sin Ssin' cos–dx 3 3

A: (9) To evaluate ∫sin5x3cosx3dx Substitute sinx3=u and cosx3dx=3du. Therefore,…

Q: C. lim (4x xx-√16x² + 3x - 5) X→∞

A: Given limits, (c) limx→∞4x-16x2+3x-5 (d) limx→03x-7x2x-15x We have to find the Limit of the given…