Suppose you know the following: f( – 3) = 4 f'(- 3) = 5 • f'(x) is continuous for all a Find the following. f(x) – 4 f(-3) – 4 lim I -3 r2 - 9 X syntax incomplete. 18 In(f(x) – 3) lim I -3 x + 3

Q: (6,5). (1.4) (-4,2), (6,2) -2 6. 8 -2 9(1-2) lim f(z) = I4-4- -4 00 4.

A: Given the above figure. To find limx→-4-f(x)

Q: (5х-4, E If f(x) = 0<x <1 show that lim f(x) exists. %3D 4x - 3x, 1<x<2

A:

Q: Suppose f(8) = 6 and f'(8) = 4. Find the following. ef (x) - e6 lim 18 x² - 4x - 32 || ef(z)-6-f(x)…

A: f(8)=6 and f'(8)=4 Find limx-8[ef(x)-e6]/(x2-4x-32)  Limx-8[ef(x)-6-f(x)+5]/(x2+16x+64)

Q: 3. For each of the following, give an example of a function f satisfying the giver such a function…

A:

Q: . The function f (x) is defined by the rule 2-36 if x + 6 f (x) x-6 25 if x = 6 (a) Calculate lim f…

A: Continuity criteria :  f ( x ) is continuous at x = a when following properties are satisfied :  1)…

Q: V9x4 + 2 sin x Evaluate lim x→+∞ Зx2 — 5 03 O 1 3 O 1 None of these or the limit does not exist

A:

Q: s(x) = - V – 1 100 10! 102 103 F (x) 104 105 106 f (x) lim

A:

Q: The function f is continuous for all real numbers. If lim f(x) = 0, then what is lim xe-2x)? x-2 x-1

A: The function f is continuous for all real numbers  If limx→2f(x)=0then if we put x=2t then…

Q: Suppose f is a function with f(2)=5 where for all interval > 0, there is some δ > 0 such that if x…

A: Answer

Q: Q.1: Evaluate Vx+25 -5 х2-10х (1) lim (2) lim x-12 Vx+4 x (х+3) 2x2+3 x2-25 (3) lim (4) lim X-5 x-5…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (M1.4 C) Consider the two functions h(x) = %3D and k(x) 2² + 4x+4 2+x-2 Compute the lim h(x) and lim…

A: Given: The functions hx=x2+x-2x2+4x+4 and kx=x2+4x+4x2+x-2 To find: limx→-2hx and limx→-2kx

Q: p³ + x² – 4 4x = x +1+ - 1. Consider the function f(x) Note that - 4° x² – 4 x2 (x2 – 12) (т? — 4)2…

A:

Q: 1) The graph of a function f with domain (-5, 5) is given in the figure below. 4 3 5 -4 -3 3 4 -2 -3…

A: a) You can see that, the graph of the function f goes -2 units below the x-axis at x=-2. Thus,f-2=-2

Q: 4х — 1 4x2 + 3x - Find lim f(x) if 5. x2

A:

Q: Suppose f(x) and g(x) have the following values: • f(8)= -4 and f'(8)= -6, g(8) 1 and g'(8) = -3. =…

A:

Q: Expand the function p (z + h) as follows. p (z + h) = V(w+h)²–1 Substitute the function p (z + h) in…

A: They are solving derivative for v=1w2-1

Q: x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k

A:

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: Which of the following are vertical asymptotes of f(x) = x2 - 2X 7 x² – 4 x=0 x=-1 x=-2 X=1 x=2

A: Recall:  To find vertical asymptote, set the denominator equal to zero and solve for x. Given,…

Q: If f(x) = 2x? – x + 2 , what is lim 2x2 – x + 2, lim 2x2 – x + 2, andf(2)? Is f(x)continuous at 2? O…

A:

Q: x2 – x – 12 lim 2. Evaluat" t→4 3x – V16 – x

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: The function h is defined by h(x) following statements must be true? A (В B (C) D lim h(x) x→4- lim…

A:

Q: (3x-7 x21 lim f(x) = 19. (x)= r+4 x<1 %3D

A: 19) The given function is fx=3x-7x≥1x2+4x&lt;1 To find: limx→1-fx