x2 - 4x - 21 Let f(x) = Find a) lim f(x), b) lim f(x), and c) lim f(x). x-7 x→7 X→-3 ... a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) x→7 B. The limit does not exist. b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) B. The limit does not exist. c) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) X→-3 B. The limit does not exist.

Q: Evaluate the limits lim, sec(2x) and lim-sec (2x) using the following graph. Justify your answers.…

A: The limits are  and

Q: Vx+h+5-Vx+ 5 2. Evaluate lim- h-0 h

A: See the details solution in below

Q: Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law…

A: let  D=limx→25x3+4x-3D=limx→2(5x3+4)limx→2(x-3)

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A: To find limx→bx-bx-b Let us assume y=x-bx-b Take limit on both side x→b…

Q: lim x+0 V1 + 3x – 1

A: SOLUTION-

Q: Directions: Find the limit of the following. 1. lim(x² + 2x – 1) x→2 2. lim (x³ + 8) X--2

A:

Q: 1.) Evaluate each of the following limits. a.) lim (x2-3x + 1) x-2 x-1 b.) lim x-1x²-1

A: (a)  To compute     L = limx→-2x2-3x+1  Then we have L = -22-3-2+1

Q: Let f(x) be given by the graph below: 20 y = f(x) 10 -20 -10 10 20 -10 From the graph, evaluate the…

A: The graph of the function f(x) is given by

Q: 3. Evaluate each limit. If applicable, state why the limit does a. lim. x2+5x+10 X48 x-1 h lim…

A: A limit is called Do Not Exist if left hand limit and right hand limit are not equal.

Q: Find Lim A. 00 x 16 x-2 X-2 C. 32 B. 0 D. 010

A:

Q: 2. Evaluate lim f(x) and lim f(x) using the figure. y A y = f(x) -10 10

A: Topic -limits From figure ,it is observed that when x tends to infinity value of f(x) is -2 When x…

Q: 5z 3z (a) Evaluate lim, >00 94e

A:

Q: Find the limit L.

A: Given: L=limx→4x2+6

Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: Va – 2 - Find lim x →4 x – 4 Answer

A:

Q: Use the graph to determine whether each statement is true or false. lim f(x) = -2 X→-2+ 7) +++ -5 -4…

A: To find the limit of function using given graph.

Q: Directions: Evaluate the following limits. 3. lim ) 4. lim ) x-1 x2 X+4

A:

Q: -2 -3 -4 -5- -6- -7+ lim f(z) = OLimit does not exist. TIP Enter your answer as an integer or…

A: At any point for any function f(x) the limit limx→afx=L exists if limx→a−fx=limx→a+fx=fa.

Q: (x-2; x3 Evaluate a. lim f (x). b. lim f(x), and c. lim f (x).

A:

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4: