Sx + 1, x<-4, f(x) = | 1, x > -4. Sketch the graph of this function and find the following limits if they exist (if not, enter DNE). Note that the negative sign denotes the limit coming from the left; and the positive sign denotes the limit coming from the right. 1. lim f(x) x--4 2. lim f(x) X--4* 3. lim f(x) X-4

Q: Sx² – 4 if r 3 (a) lim f(r) - (b) lim f(x) = (c) lim f(r) = 3-

A: see 2nd step

Q: 2/ Find the value of the limit: lim x/*,

A:

Q: Discuss the behavior of the following functions, explaining why they have no limit as x-&gt;0.

A:

Q: Use the given graph of the function f to find the following limits: 1. lim f(x) = -I←x 2. lim f(x) =…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 7) Use the graph and associated table of f1(x), approximate the following limit: lim f1(x)=

A: On the graph, we draw a vertical line from x=2 and a horizontal line from that point where it…

Q: given the attached function, find the following limit limh--&gt;0 (f(-1-h)-f(-1))/h -6 -3 -3/2 -3/4

A: Explanation: Given that,  Now find the f(-1-h) put x = -1-h                           Now find the…

Q: 11. Use the definition of the limit of a function to prove that lim g(x) =- 6 if %3D (16x²-9 4x +3 3…

A:

Q: Sx² 15 a. Find lim f(x). if x + 2 2. Let f(x) = } if x = 2 X→2 b. Find f(2). Is f(x) continuous at x…

A: Proceed as shown below...

Q: O 8: Evaluate limits of functions from their graphs and/or equations. Find lim f(x), lim f(x), lim…

A: Given, Graph  of the function:

Q: Use the graph of the function to answer the each question 1. limr-0-f(x) = 5- 2. lim,o+ f(x) = 4 3.…

A:

Q: Evaluate the following limit. : - lim 5-2 メタ8 イー&

A:

Q: The limits of the following two expressions are: 1 1 3. x' +x-6 (a) lim x-3 3+x (b) lim x2 x-2 A.…

A:

Q: 7. Identify if the statement is Always True, Sometimes True or Never True. If lim f(x) exists, then…

A:

Q: 8. Evaluate the limit by using a √√x-2 a. lim x8x8

A:

Q: 12 if x 3 х — 5 Compute the limits and determine the function value. Write "DNE" if the limit does…

A:

Q: Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -o. (a) V6+9x? lim x-00…

A: Solve the following

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: 13. Evaluate the limit for the graph: lim¸(1 − x + x²) Xx→-1 a. 0 b. 1 14. Evaluate the limit for…

A:

Q: Evaluating the following limits: Vx+5-V5 a. lim x-0 2x b. lim x-2 x-2 X+1 3 c. lim 3x cot(2x)…

A: Limit of the indeterminate forms

Q: a. lim f(x) = %3D b. lim f(x) = %3D X-1 c. f(1) = %3D

A:

Q: 49. Differentiate y = cosh²4x a. 4(sinh 8x) b. 12(sinh 8x) c. 8(sinh 8x) d. 2(sinh 4x)

A:

Q: 2. lim g(x) for g(x) = { (-6x + 2x if x <-2 3x2 – 3 X--2 if x 2 -2

A: The given function is g(x)=-6x+2xif x&lt;-23x2-3if x≥-2 We have to find the limx→-2g(x)