2.x2 – 3 x < -1 f(x) = 2.x3 +3 -1 < x < 1 2.x2 + 3 x >1 Enter DNE if the limit does not exist. a) lim f(x)= r--1- -) lim f(x) = 2+-1+ -) lim f(x)= =) f(-1) = e) lim f(x)= I+1- → lim f(x)=| g) lim f(x) = 2+1 n) f (1) =

Q: Give an example of two differentiable functions f(x) and g(x) such that: lim, 00 f(x) = lim, 0 9(x)…

A:

Q: Evaluate the integral. S7 19n (sin x + cos y) dx dy O 8TT O 16TT O 9TT O 17TT

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Q: lim f(x) f(c) a) lim f(x) 1 DNE x--3 b) lim f(x) DNE 1 x-1 c) lim f(x) -1 -1 d) lim f(x) e) lim f(x)…

A: Graph of the function is given.

Q: * -x+1 if x1 (a) The value f(1) does not exist, while lim, 1 f(x) exists and equals 1. Doth f1).

A: f(x) = x3-x+1 if x&lt;1        = 1/x        if x&gt;1 Since the function f(x) is not defined at x= 1…

Q: How would you denote ƒ' (−1) if ƒ(x) = x² + 3x +2? f(x)-f(-1) x+1 limħ-1 limä→-1 limh→0 limh→0…

A:

Q: x + 3 2x+3 5. (a) Find f(a) for a = -2,-1,0, 1 if f(x) = x + 2 2 4-x for x 1 (b) Find lim f(x) and…

A: Given: For (a), f(-2)=2(-2)+3=-1f(-1)=DNEf(0)=0+2=2f(1)=2

Q: The limit lim h→0 f(x) a = 1 = x^3 (1 + h)³ - 1 h represents f' (a) for some function f and some…

A: We know that: f'(x)=limh→∞f(x+h)-f(x)h and f'(a)=limh→∞f(a+h)-f(a)h.

Q: Use this graph of y = f(x): -5 -4 -3 -2 -1 -0-* lim f(x) = *→0+ lim f(x)= = 3 07* 2. 18 -1 -2Q to…

A: see below the answers

Q: Consider the function f(x) given by the graph below. y f(x)

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Q: ل بريال

A: From the graph of given function

Q: 4. Let X: +3 if x < -2 if -2<x< 1 h(x) = {x² -x+2 if x2≥1 a) Find the following limits if they…

A:

Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: f(8 + h) – f(8) lim h-0 h where f(x) = 6x + 2. If the limit does not exist enter DNE. Limit =

A:

Q: 1. If limit of f(x) -8/x-1=10 as x approaches 1, find limit of f(x) approaches 1

A: As per the company guidelines we are supposed to answer nly first question.Kindly repost the other…

Q: a) f(1) = b) f(-3)= c) lim f(x)= x-→-3 -3 -2 6 5 3 2 1 -1 0 f(x) 2 3 4 5 Т

A: From the given graph we can conclude that

Q: 3. function, if exists. If not, justify. (1) 4. (1) Given the graph of a function y = f(x), find the…

A: The objective of the question is to find the limit of the given function as x approaches a certain…