A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. 2. lim f(x) exists. 3. The left and right limits are not equal. 3x 3 if r < 10 Let f(x) 3 if r > 10 I+9 Show that f(x) has a jump discontinuity at z = 10 by calculating the limits from the left and right at 10. lim f(x) = I+ 10 lim f(x) = I- 10+ Now for fun, try to graph f(x).

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 3. lim f(x) = -2, lim f(x) = 2 and f(2) =…

A: we will find type of graph around given value of x to draw graph

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (2x² – 7x…

A: Introduction: A non-stop characteristic in arithmetic is one wherein a non-stop variant (that is, a…

Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2

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: values

A: We will find the limits.

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: Use the given graph of the function f to find the following limits: 1. lim f(x) = 5 x 17 2. lim…

A:

Q: Find the one-sided limits of f (x). S-5x + 7 - 8x3 – 6 if x > 3 if x < 3 f(x) = Step 1 of 2: Find…

A: Given , =?

Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →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: 7. Identify if the statement is Always True, Sometimes True or Never True. If lim f(x) exists, then…

A:

Q: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: The graph below is the function f(x) -4 -3 -2 -1 lim z→ 3+ 4 3 2 1 -1 -2 -3 -4 Determine the…

A: Find the limit from the graph

Q: (8+h)³ – 512 lim h-0 h

A:

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: Shown below are six statements about functions. Match each statement to one of the functions shown…

A:

Q: Sketch a graph of a function that satisfies all of the following properties. -4- a) f(-6) is…

A: We need to sketch the graph.

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

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.