How do I compute  limx→4(x^2−6x+8/x^2−4x)

Q: lim x→−2 (3x^4+2x^2−x+9)

A:

Q: Evaluate I = = / x*(x² + 4)³/ª dz

A:

Q: limx→0  (x^2+3) / (1−cosx)

A: given example is, limx→0x2+31-cosx

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: V7x* +4x' -x² -2 lim x³ - 2x² -3x+1 4x-x²-2 x -0

A: Solution:

Q: limx→∞ 1 − e^−4x

A:

Q: Differentiate: t^(2/3)-5(t)^(1/3)

A: Find derivative

Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

A:

Q: sec x)^2 - 1

A:

Q: lim (Vx2 + x (v. – x

A:

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: find@lim 3X+1 メー→0 lim 2x+ 5

A: We use the property of limit to answer the given question.

Q: lim as x goes to -3 of (4(2x+1)^2-100)/x+3

A:

Q: lim 3X=12x→4

A: We can show this by substitution  We plug x=4

Q: y=(x+1)/(x^3+x-2) differetiative

A: Given function y=x+1x3+x-2. The objective is to differentiate the function.

Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

A:

Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution

Q: Find the intergral of (5-4x)/(√(12x-4x^2-8) ) dx

A: It is given that,               (5-4x)/12x-4x2-8dx     we have to integrate it.

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.