4. Given there exists a function h(x) such that 2x³ + 5 < h(x) < xª + 5 for all r near 2, h(x) +3 find lim x→2 4

Q: 5. Let r(x) be a nonzero rational function. Evaluate r(x+1) lim X00 r(x)

A:

Q: x3-9x 2x+6 8) Let f(x) = lim X→ -3 Enter your answer as either "yes" or "no" or "does not exist".…

A:

Q: 1. lim (x – 4)(x² + 8) x→5 2(t-10)² 2. lim t→10 t

A: Let P(x) = a0+a1x+a2x2+.....+anxn be a polynomial, where a0, a1, ...., an are real numbers and n is…

Q: 5. Sketch the graph of one function y = f(x) that satisfies all of the requir- ments below. lim f(x)…

A:

Q: а) If V5 - 2r s f(x)s V5 – x² for -1sxsl Find lim,o f (x) ?

A: Given that                                5-2x2≤f(x)≤5-x2  for  -1≤x≤1 we have to find…

Q: 7x If h(x) = (1 + 4)¹x, find lim h(x) X→∞

A: In the question is :h(x)=1+4x7xlimx→∞hx=limx→∞1+4x7x

Q: |x + 2 x + 2 17. а. lim (x + 3) b. lim (x + 3) x→-2+ x + 2 x→-2 x + 2

A:

Q: . Let (x2 + 1 f(x) = 1( - 2)² if x> 1 if x<1 (a) Find lim,-I- f(x) and lim,→* f(x). (b) Does lim ,1…

A: Given: For (a),     limx→1- f(x)=limx→1 x2+1=12+1=2 and     limx→1+ f(x)=limx→1 x-22=(-1)2 =1

Q: If V5 – 2x? < f(x) < V5 – x? for -1 <x < 1, find lim,-o f(x).

A: Given  5-2x2 ≤ f(x) ≤ 5-x2 for  -1≤x≤1.

Q: Evaluate the following: 1. lim       √(6-y)  - 2      y-> 2-   y2 - 4 y + 4 2.  lim   |2t-1| -…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

A:

Q: If lim f(x) = 8 and f(7) = 3, then lim (4f(2x + 1)) = %3D %3D x→7

A:

Q: b) Evaluate lim g(x) if 2x − 1 ≤ g(x) ≤ x² − 2x + 3 x→2

A: Above question is solved.

Q: x2-9 is x→-3 V 2x2+7x+3 V30 lim V20 D. Е. О A. no limit B. С.

A:

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: 11. Consider the function f(x) = x³-ax²-x+b X+1 lim f(x) exists, determine all value(s) of lim f(x).…

A:

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: 2. For h(t)= Vt +12t – 2r² evaluate each of the following limits. (a) lim h(t) (b) limh(t) 『→の

A: We will find out the required limit.

Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: 1 (B). Evaluate lim (3 – x) x-2 x→2

A: Given that  lim x to 2 (3-x)^(1/(x-2))

Q: Find the value of a so that √x²-5x = 4 Vx2 lim √x² + ax - X18

A: We are required to find the value of a for which limx→∞x2+ax-x2-5x=4

Q: (a) Lim X–1 x +1 -2 X

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Evaluate: 1. lim [√x² + x − √x² + 4] = X→ +∞ 2. lim [(x²-In(x + 1)) cotx] -0-x

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