Suppose lim_ f(x) = 4. x-5 Which of the following statements are true without further restrictions on f? A. Range of f need not contain 4. B. As f(x) approaches 4, a approaches 5. C. f is defined on (a, b) for some a < 5 < b. 1. All of them 2. A and B only 3. A and C only 4. B and C only 5. None of them 6. C only 7. B only 8. A only

Q: 26. Use the limit definition to compute f(x) if f(x) =12x²+2.

A:

Q: I do not understand how to find limits in a function... at all...

A: Plug the given number x which is approaching in the function.

Q: 3x + 5x – 12 Jx +1-1 e) lim f) lim X+3

A: limit values=?

Q: Let f(x) be the piecewise defined function 4x3, if x < 9.6 x + 2, if 9.6 < x what is the…

A:

Q: 3. There are two conditions that must be met in order for a function to be continuous, explain those…

A: See a function is continuous at a point a when these two conditions are satisfied,i) ii) Note that…

Q: 6. Find the each of the following limits using rules of limits. a. x²+x-6 lim x→2 x-2 b. lim √x² - 9…

A: Limits

Q: Use the following graph of F to find each limit. 8 6 ● 10- 8- -2 Ay 6 4 -2 6 2 14 16 6 8 10 a) lim…

A: I have explained everything with in the solution .please go through .

Q: 2. Find the limit of the following functions C. x-5 lim x-5x225,

A: here we have to find the limit of a function.

Q: Determine the limit of each function below as x approaches the given value x = a. If the limit…

A:

Q: b) citing appropriate limits. Explain how you know that there are no others. Let g be the function…

A:

Q: Let f(x) be the piecewise defined function a.-23.80 O b. 23.80 O c. -4.70 O d.-29.80 e. This limit…

A:

Q: 1. Evaluate each limit, if it exists. 3w-2w+7 4. lim w +1 2x -x-3 5. lim 3x +5.x +2 2x -7x-4 6. lim…

A:

Q: 92. Use the contrapositive form of Definition 0.5 to prove thatthe function f(x) = 3x + 1 is…

A: given,         fx=3x+1

Q: 4.) Consider the function defined as Find the following limits. a.) lim f(x) b.) lim f(x) c.) lim…

A:

Q: |r+7| 9. b. lim r-8- x2 + 7x -8, x + 8

A:

Q: 3. The notation lim f(x) is read

A: The notation limx→4f(x) is read, The limit of f(x) as x approaches 4.

Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x&lt;3x+5,if x≥3

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 .