0 g(x) (1- /1- (a + 1)²)da -x2 Interpret g(1) as an area.

Q: limx-0- (x 8 + x2 V8 a. Ob. -1 1 O d. 0

A: Just I have used the definition of left hand limit and easily calculate the required limiting value…

Q: 8. (x - 1) dx √x lim

A:

Q: sin 3x + ax + bx3 lim %3D x3

A:

Q: Find the limit.

A:

Q: k(x) = (1+ x²)etan-(x)

A:

Q: lim (3x + 1 x2 3 +00 indeterminate

A: Proceed as shown below

Q: Intergrate (ln x)2. Show all working out.

A: We have to integrate lnx2 that is ∫lnx2dx. Used formula:-  ∫fx⋅gxdx=fx⋅∫gxdx−∫ddxfx⋅∫gxdxdx Here,…

Q: lim a-1 In(1-x) dx X

A:

Q: {) Lim 1-cos Scos2x 7 メー)○ x2

A: Given: limx→01-cosxcos2xx2 for evaluating given limit, we use L hospital's rule according to L…

Q: lim (1+ / tan(x² – 3x + 2) X' is :- X2 (A) e (B) 1 (C) e ! (D) e

A:

Q: lim x->infinity  6e10x

A: Given: -

Q: lim x-0 (cos20x) 7/20x^2

A:

Q: Approximate 184 using the Linear Approximation L(x) of f(x) = x' at a = 16. (Use symbolic notation…

A:

Q: Solve the integral. x5 + 3 1. х?(x2 + 2х + 1)

A: Given that  The integral  Using the partial fraction decomposition find the value of the integral

Q: Lim Vn' +n

A: Explanation of the answer is as follows

Q: dx xVa²x² χναx16

A:

Q: Evaluate √16-x² dx

A: ∫16-x2dx

Q: f(x) = -(x ² + x-30 (x, f(x) Axis of symmetry: ● X-int (smaller) x-int (Larger) Form: Standard •…

A:

Q: lim x+0 v25 + 8x – 5

A:

Q: lim (nx{n(x -1)=? Use L'Hospital's Rule

A:

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

A:

Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule.

Q: lim X+0 2x+ is (A) -3 (B) (D) (E) 2

A:

Q: k a] lim = 0 kER %3D

A: 2(a) In this question, we prove the limit of the given sequence by using   ε-δ definition.

Q: sin (T x) أختر الأجابة الصحيد )lim ثم أحسب الغاية التالية (n + x1 x-1

A: To see 2nd part

Q: reduction formula to evaluate the integral. x e 4Xdx

A:

Q: lim(16 – 2x) X6 A. 4 В. 14 С. -4 D. DNE

A: LetL=limx→6(16-2x)Use direct method.L=16-2(6)L=16-12L=4

Q: sin(3x – 3) lim x² – 1

A: Given :

Q: Can you pls show me how did you get this? ln x = -6x  x = 0.2387

A: Let's solve.

Q: (sin x)(15x4 – 5x + 8) Let f(x) = 4x Find the value of limr→0 ƒ(x), or state that it does not exist.

A: Given f(x)=sinx(15x4-5x+8)4x

Q: Evaluate the limit, if it exists:

A: LCM of (x+h)^2 and x^2 is x^2*(x+h)^2.Simplify the numerator using LCD.

Q: dx 2x2 - 3x+ 5

A: Integrate the function 1/(2x2-3x+5)

Q: sinh-1x = In (x + vx² + 1) %3D

A:

Q: sin x lim 2х x0 e -2х

A: To evaluate the given limit.

Q: lim Jx-S

A:

Q: Evaluate the following limits.

A: We have to evaluate the limit: limx→0ax-bxx It is 00 form. We know the formula, limx→0ax-1x=lna So…

Q: integral (1-3 square root of x)dx=

A:

Q: lim x→>0¯ -3/x 2 x² e

A: This question is based on limits and L' hospital rule

Q: 9 – cosh a f(x) = 9 + cosh a

A:

Q: Lim 4 ht X

A:

Q: 4). limn Jã X 00

A: Given, limx→+∞ x We have to calculate given limit.

Q: 5. lim 5ª + 2³ª + [ln(ln x)] ¹⁰⁰ 7ª + 6ª + [ln(ln x)]200 xx 7x

A: To Evaluate: limx→∞5x+23x+[ln(lnx)]1007x+6x+[ln(lnx)]200.

Q: Evaluate the following limits.

A:

Q: Integrals Evaluate each integral.

A:

Q: 5 Lim 9-5 -4 dx 2 -x²-8x-15

A:

Q: sin 2x J-1 x8 +x* – x² +2

A: Evalute the integration ∫-11sin2xx8+x4-x2+2dx.

Q: lim lx-1| х>1 1-х ?

A:

Q: lim Vx+ 2/x - Jx)

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by