4 $ For each g(x) given below, find the value(s) of the constant a so that lim 24-2 2³+ar²+3r-1 g(x) exists and evaluate the limits for those values of a. If there are no such values of a, explain why. (i) g(x)=2²-4 F5 (ii) g(z)=(x + 2)² ➤11 % F6 PPI A G F7 F8 & - 2 F9 * P F10 SME F11 PO F12 S - PrtS

Q: If 8 cos (3x) < g(x) < 8 + 2x for all x. Find lim g(x)

A:

Q: Use the Squeeze Theorem to show that  lim x→0 x2 cos(16?x) = 0.

A:

Q: Find the limits

A:

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: If 6x s g(x) s 3x4 - 3x2 + 6 for all x, evaluate lim g(x). Need Help? Read It

A:

Q: Let a and b be constants in R. and If lim (f(x) - (ax + b)) = 0, what is the value of b? x→→∞0 b= =…

A: Solution to find the value of b  of this limiting problem is as follow.

Q: 2 1 y=g(x) X

A:

Q: find f(x) and a lim [3(2+h) ³+27-14 h=0 h

A: find f(x) and a :use the formula , limit definition of derivative :

Q: If f and g are continuous functions with f(3) = 5 and lim,- [2f(x) – g(x)] = 4, find g(3).

A: Use the fact that limx→cfx+gx=limx→cfx+limx→cgx. Also, limx→ccfx=climx→cfx Now,…

Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

A:

Q: f(x)=2/x+1. and g(x)=1/x-2

A:

Q: The percentage of female high school graduates who enrolled in college is given in the table below.…

A: Let x represent time(in years) since 1970, and let y represent the corresponding percentage of…

Q: Given f(x) = 7x - 6; x < 6 x ≥ 6, 4x + 3 ; Find: lim x →6 f(x)

A:

Q: Use the equation f ′(a) = lim x→a  f(x) − f(a) x − ato find f ′(a) at the given number a. f(x) =  x2…

A:

Q: { x 2 1.8x – 6.6, g(x) : -0.4x – 2.2, g(2) = lim g(x) = x-2- lim g(x) = x-2+ lim g(x) = x-2

A:

Q: Given f(x) = x² + Va, then f(4+ h) – f(4) - a) lim h>0 h f(æ) – f(1) x – 1 b) lim Note: write either…

A: This question can be solved using the concept of function and rationalization.

Q: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: The graph below is the function f(x) -4 -3 -2 -1 lim z→ 3+ 4 3 2 1 -1 -2 -3 -4 Determine the…

A: Find the limit from the graph

Q: Given h(x)= Vx +9 - 3 a) Determine the value of x where h(x) is discontinuous. b) Find lim h(x). X-0

A:

Q: (8+h)³ – 512 lim h-0 h

A:

Q: Please show step-by-step solution

A:

Q: Let g(x) = 2x - 6 . The value of 8(0+h) - g (5) is equal to %3D h

A: Given, g(x)=2x-6

Q: One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of…

A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

A:

Q: f(x) 80. If lim x→-2 x? 1, find f(x) b. lim x2 (x) х

A: 80. Given:

Q: If 6 – 4x <g(x)<6 cos x for all x, find lim g(x).

A:

Q: Suppose that both f and f' are continuous for all x. Furthermore, suppose that f(5) = 4, f'(5) = 7,…

A: As per as our guidelines i am supposed to answer only one question . please repost second question .

Q: 3. Find lim (1 – 2x)/x x -0

A: Explanation of the solution is given below.

Q: g(; +h) – g(4) g(u) = sin 2u. Evaluate lim %3D

A: