Consider the function f, pictured below, that satisfies lim f(x) = 5. x-2 y=f(x) Determine the largest possible 8 > 0 that satisfies each of the following. a) If 0 < |x – 2| < 8, then |f(x) – 5| < 2. b) If ) < |x – 2| < 8, then |f(x) – 5| < 1 .

Q: 5. Evaluate each expression using the given graph of f(x). lim f(x) a) x-1- 2- 1- b) lim f(x) -2 -1…

A: Given graph, The objective is to find,  a) limx→1-f(x)  b) limx→1+f(x)  c) limx→1f(x) d) f1 e)…

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

A:

Q: Consider the function are true? 1. lim f(x) = 70 II. lim f(x) = 70 III. lim x) = 100 X-8 IV. lim x)…

A: Given function f( x ) = 100 - 12000400 + 3000axWhere a &lt; 0 &lt; 1

Q: Use the graph of f(x) below to answer the following questions: -1₁ --2 y=f(x) 3₁ 4₁ I 5 I I X

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) =  1…

A:

Q: which of the following statements is true about the function             3x-2, if x&lt;2 r(x)=…

A: We have given,            3x-2, if x&lt;2r(x)=     -8      if x=-2             5x+4 if x&gt;2

Q: Find the lim f(x) if, for all x > 11, 7x-1 < f(x) < 7x + 5x x2

A:

Q: Given the following piecewise function, evaluate lim f(x). x 17 -2x² - 2x f(x) 3x - 2 x² + 3 = if if…

A:

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

A: Given problem:-

Q: Find the lim f(x) if, for all x > 13, 7x – 3 < fx) < 7x² + 4x

A: Given : 7x-3x &lt; fx &lt; 7x2+4xx2

Q: Suppose that f is a function such that lim-[f(x) - 2x²]= π. Determine, if possible, lim 118 x² +1'

A: Suppose that f is a function such that, limx→∞fx-2x2=π.  To determine, limx→∞ fxx2+1, if possible.

Q: We know the following limit expression to be true: lim (-x² + 8x-6) = 1 X-1 Choose the most direct…

A: The limit of the function f(x)= (-x2+8x-6); is 1 when x tends 1 .