2. Given f(x)= a) 0 [x+1 ifx<0 x-1 if x20' b) 1 , find lim f(x) if it exists. X-0 c)-1 d) it does not exist e) 2x

Q: 22. If f(2)=sin 2, then lim (2)-f(z) z-2 2-2m (A)-2T (B)-1 (C) I (D) 2T

A:

Q: f (x) -f (2) The value of lim X-2 if f (x) = 2x2+1 x-2 A 2 B) 4 C 8 D) does not exist

A:

Q: 3. Sketch a graph of a function y = f(x) that satisfies all of the following (if possible): а. x-0-…

A:

Q: x' - 4x? – 9x+36 lim b) x - x-12 x-3 e* -e* – 2x lim c) x- sin x

A: limx→-3x3-4x2-9x+36x2-x-12=limx→-3x2x-4-9x-4x2-4x+3x-12=limx→-3x2-9x-4xx-4+3x-4=limx→-3x2-32x-4x-4x+…

Q: Let f(z) 2 = = (-)². Show that lim f(z) does not exist. z➡0

A:

Q: I am trying to figure out the answer to this problem using L'Hopital's rule. please show all steps.…

A: Given,           limx→02xx+3-3

Q: 7. Use the definition of the limit of a function to show that if lim f(x) = a and lim g(x) = b, x→x0…

A:

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: 3) If the lim f(x) = 2 and lim f(x) = -1 %3D x-3- x-3+ Then what is the lim f (x) = x→3 %3D a) Why?

A: To find the limit of the f(x) at x=3

Q: 2f(x)=x² x-1 f(x)+1 3. If lim f(x) = 2, what is the value of lim a) 0 b) 1 ? c) 2 d)

A: Given: Limit ( x-&gt; 1) f(x) = 2  Need to find- Limit ( x-&gt; 1) [ 2f(x) - x2 / f(x) + 1 ]

Q: tan(3x) lim x→0 2x2 + 4x

A:

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: 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: Let h(x)

A: hx=x2,      x&lt;23,       x=22,       x&gt;2 Now, The left hand limit at x=2 is,…

Q: H.w iF FX)= *+b x<I and Lim F(X) 8,F(-1)=2 Find asb and when X#0

A: Solution:

Q: Suppose f: IR→IR is a moNotonically increasing funckian, = 0 , then fioo = 0 6) Give an example of a…

A: Answer for sub question a: Suppose f:ℝ→ℝ is a monotonically increasing function and suppose…

Q: b) Let f(x) = x²-1 2-1 ' √x-1 0 < x < 1 1<x<3 2-1 ' 5x+3, 3x Find lim, 1 f(x). 3x-7 c) Let f(x) =…

A: The b part of the question can be solved using the concept of limits.The c part of the question can…

Q: 31. If f is continuous and f(3) = 9, which of the following statements must be true? (A) lim f(3x) =…

A: Here we define which statement is true or false.

Q: In (2-x) 1-x²-y2¹ (a). Find and sketch the domain of f. 1. Given function f(x, y) = ,do the…

A:

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

A: To find the limit of given function.

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: 2. Consider f(x)=x² – 4x + 2 a) lim f(x) x-2 b) lim f(x) x-4 c) lim f(x) We X-1

A:

Q: 5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x 1 x-1…

A:

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: x² - 1 if x 2 x→2* а) 4 b) – 3 с) 3 d) – 4

A: Given function is  g(x) = x2-1   if x≤2x+2    if  x &gt;2 the function is defined in two intervals.…

Q: For which value of n, does the lim- -ny'+16n = 2 y-2 32-ys

A:

Q: If lim x→0 a) f(x) x = 1 and lim x-0 lim g(x) x→0 g(x) – 2, evaluate: X b) lim x-0 g(x) f(x)

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: x² x-o ex-x-1 Evaluate lim А A) 0 B) 1 C) 2 D ∞ by applying L'Hôpital's rule.

A: find limit using L hospital rule option C correct answer

Q: 1. Find the following limits: и7—4u5-6и? +14и (1) lim и-о 2и7+4u6+17u2 х2-3х-10 (2) lim X→-2 х+2

A:

Q: In(2+x) lim, x+-1 X+1

A:

Q: 4. A function g is defined to be: (b) If we chose c as in part (a), is at z 1? Explain why or why…

A: The given function is,g(x)=-x2+cif x&gt;11if x=12x-3if x&lt;1