2. Evaluate the following limits. x+ 1, if x <- 1 i. For the given function f(x) = }x², if – 1< x< 1, find 2 – x, if x > 1 c. lim f(x) a. lim f(x) b. lim f(x) x→1+ x→1- X→1

Q: 2. Construct a table of values to investigate 1 if x -1

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Q: 4. Given the graph of the function f below, evaluate lim f(x).

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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: 6. Is it true that the limit of a function lim f(c) = L is the same as evaluating a function f(c)?

A: the limit of a function lim f(c) = L is the same as evaluating a function f(c)

Q: n each part below, give an example of a function which satisfies the given criteria. Justify that…

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Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: C., Given the graph of the function f(x) below. Determine the value of the following for each value…

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Q: 2. Find the limit of the following functions a. lim (-3x² + 5x – 4) x-18

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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: Find the following (if they exist) for the function whose graph is given below:

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Q: neither lim f(x) nc

A: For the limit  fx and gx , take the condition . For function fx, fx=2 if x≥00 if x&lt;0 The limit…

Q: B. Determine if lim f(x) = f (c) 24C 1. 18)-x+2; c =-1

A: f(x) = x+2 c = -1 f(c) = f(-1) = -1 + 2 f(c) = f(-1) = 1

Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

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Q: For the function f whose graph is given, determine the following limits. a. lim f(x) x-4 d. lim f(x)…

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