1. Let f(x) = 5, if x>1 f(x) = 2, if x < 1 f(x) = undefined for x = 1 Find the following one sided limit: lim f(x) 06 0 2 Olimit does not exist

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

A: see 2nd step

Q: f (x) 4 2. (2, 2). -6 -4 -2 2 6. -2 -4 -61 4.

A: Given query is to find indicated limit.

Q: 7. Use the definition of the limit of a function to show that if lim f(x) = a and lim g(x) = b, x→x0…

A:

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: 1. Using the limit rules, find lim f(x) for the following functions: (a) f(x)= 3. (b) f(x)=¿e-2*.…

A:

Q: Find lim f(x) if, for all x > 1, бех 19 < f(x) < - 2ex VX - 1

A:

Q: Let f(x) = 5 and g(x) = 3x + 1. Use the definition above to verify the following limits:

A: We have to verify the result: a  limx→7 fx=5b  limx→4 gx=13 Where function is given that: fx=5,…

Q: 7x If h(x) = (1 + 4)¹x, find lim h(x) X→∞

A: In the question is :h(x)=1+4x7xlimx→∞hx=limx→∞1+4x7x

Q: Compute

A: The limit of the function is the value of the function when the value of the arguement is…

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

A:

Q: Vx + 4 – 2 Use a table of values to estimate the value of the limit of lim f(x) f(x) ERSIT 2.

A:

Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

A:

Q: I need to simplify the function algebraically to determine the limit. I know the initial…

A: Recall: Limit of a function :               Let f(x) be a function defined on an interval that…

Q: x2 – 4, x 3 -

A:

Q: Find the limits as x and as x 0. y = f(x) = 4x³-x4 lim f(x) = X-∞ lim f(x) = 8118

A: Step 1:Given that y=f(x)=4x3−x4Limit as x→∞:As x→∞, the x4 term dominates because x4 grows much…

Q: Find the limit when x-> 0 lim(√x+11-√11)/x

A:

Q: 3. If f is a continuous function, what can you say about lim f(x)?

A: Given thatf is continuous To determinelimx→1f(x)

Q: 13. Sketch the graph of f (x) = }" Sx² + 1 if x -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim…

A: Given that: f(x)=x2+1    if    x≤-13            if     x&gt;-1

Q: True or False: If limit as xà0 of f(x) equals zero then f(0)=0. If false provide an illustrative…

A: We will check whether the given statement is true or false.

Q: Determine the limits if they exist for the function lim (x,y) → (0,0) 1 – x - y /x 2 + y 2

A: We will find out the required limit.

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is