f(x)= = J 5x - 3 9x² − 12 if x < 3 if x ≥ 3 Enter the exact value of the one-sided limit lim f(x) x→3

Q: If V 16x <f(x)sx+4 for all positive x-values, then what is lim f(x)?

A:

Q: sec x lim sec(3x)

A:

Q: x² – 9 (b) lim x→3- x + 3

A:

Q: Find lim g(x) where x→1 x + 1 if x # 1 g(x) if x = 1

A: given,

Q: Suppose lim f(x) = = x→2 1/2 4 -5, find lim x→2 x²| ƒ(x) + 6 x - 1

A:

Q: (-2x + 3 if x 1 Evaluate the lim f(x) where f(x) x→1

A:

Q: -12 |–10 -8 -6 F4 4 10 12 2, 2.

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

Q: Evaluate lim (1+x)/x x→0

A: Please see the answer in step 2

Q: 2x2 + x +7 if x -2 (a) Find lim f(x). x→-2- (b) Find lim f(x). x-2+ (c) Find lim f(x), or show that…

A:

Q: If 5-4x sf(x)s5-x for - 1<xs1, find lim f(x), lim f(x)%= f(x) =D

A:

Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

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: If f(w)=√4w-3, find lim h-0 f(w+h)-f(w) h [(w)].

A:

Q: If f(x) = 5x² − 5x + 31, evaluate lim_f(9 + h) − f(9) h→0 h If an answer does not exist, enter DNE.

A: given

Q: f (x) =  x^2 +2         x3         1. At what value is this function discontinuous, if any?…

A: Given function, f(x)=x2+2,     x&lt;310     ,      x=3-3+4x,   x&gt;3

Q: If f(x) = 2x² 4x+5 4%-1then %3D liMx->00 f(X)= ANSWER DNE If limit is undefined | 0oes not exist

A:

Q: Evaluate lim I-1 when f(x) = 3x² + 5x +3. Select all that apply 1. limit = 13 2. limit = 9 3. limit…

A: To find the limit of the function.

Q: 5x – 1, {2x² – 3, x 3 -

A: Given: The function, fx=5x-1,       x&lt;32x2-3,      x≥3.

Q: Find the limit lim h→0 lim h→0 f(−9 + h) — f(−9) h f(-9+h)-f(-9) h if f(x) = 829 - 6x².

A: To find the limit , if .