For the function g below, answer the following questions. 4.x – 1 I<0 |g(x) : 10 0 3 a. Find the following limits. i. lim g(x) ii. lim g(x) + iii. lim g(x) iv. lim g(x) X→2 V. lim g(x) b. Is g continuous at x=0? Explain why or why not.

Q: values

A: We will find the limits.

Q: 1. For each of the following find: I. lim f(x) II. lim f(x) III. lim f(x)

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Q: 1 if x<1 1. Consider the function f(x)= . Evaluate lim f(x). if x 21 2х - 3 C) 0 D) 1 A) 2 В) -1

A: Here we have to use the concept of limit.

Q: Find the value of lim f(x), if x→4+ x 4 8х + 3 f(æ) = O 24 O 21 9. 41 37

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Q: Find a linear function that contains the points ( - 2, 3)and (1, - 6). What is the slope? What are…

A: We have been given the points and we have to find the slope which states m=(y2-y1)(x2-x1)

Q: x³, x 4 b) f(x) = i. lim f(x) X-1+ ii. lim f(x) X+4 iii. lim f(x) x4+

A: To graph the given function first we find the function values at some points in the domain.Then plot…

Q: Use the following information to answer the question below. lim f(x) = 3 lim f(x) = ∞ lim f(x) = -3…

A: Information of the function is given, we have to find the required values

Q: For each of the following find: I. lim f(x) II. lim f(x) III. limf(x)

A: I.Given that fx=sinx when x&lt;π6Therefore,limx→a-fx=limx→π6-sinx=sinπ6=12Hence, limx→a-f(x)=12

Q: f(c +h) - f(c) For the function f, form the difference quotient F(h) = and then find lim F(h) for…

A: F(h)= f(c+h)-f(c)/h Find lim h-&gt;0 f(h)= lim h-&gt;0 f(c+h)-f(c)/h If we put h=0 then…

Q: C. Evaluate the following limits. (x+2; x>-2 [2x; x - 3; x >-1 x<-1 Given: f(x) =- Given: f(x) = <…

A: