Let g(x) and h(X) be functions with lim g (x) = G and lim h (x) = Hwhere G and H are real numbers. Which of the following statements is NOT TRUE ? 8 (x) lim G h(x) H В lim g (x) · h (x) = G · H lim [g(x)]" = G" lim [s(x) + h(x)] = G + H

Q: If f and g are differentiable at a , then f (x) + 4g (x) = I (x) + g (x)]. True False

A: Here, the given statement is  If f and g are differentiable at a, then ddxf(x)+ddxg(x)=ddxf(x)+g(x)

Q: Find lim f(x) if I-00 4x - 1 I 5.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 4. f(x) = x² – 1; c=-1

A:

Q: x – 1 is X +2 The rang of f(x)= y = ,

A:

Q: 4) Let f(x) = x-31, Find (a) lim f(x) x-3+ (b) lim f(x) x-3 (c) lim f(x) X-3 X-3

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Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

A:

Q: -4+x, x)= {=-x if x 2 3 if x 3 Evaluate the following expressions. lim f(x) = x-3 lim f(x) = x-3+…

A: f(x)=-4+x,    if x<3   2-x,    if x⩾3 now I am attaching image so that you can easily understand…

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

A:

Q: Write an example of a function f that satisfies lim f(x) = 2 X→1 x-1

A: Limit.

Q: What is the definition of lim f(x)?

A:

Q: Find lim f(x). Im f0) -O x-2" X--2" (2.4) (4.3)

A: solution:-left hand limitlimx→2-f(x)=0

Q: Find a formula for a function f that satisfies the following conditions. lim f(x) = 0 lim f (x) = -0

A: Given that:

Q: Give an example by sketching the graph of a function f that satisfies all the given conditions.…

A:

Q: Find lim f(x), where lim x→4 f(x)-5 X-4 X-2 = 13

A: We need to apply the limits to find the expected value

Q: If lim x-4 x-2 f(x)-5 - =1, find lim f(x) X-4

A:

Q: (A) (B) ƒ(5) - ƒ(3) 5-3 f(3 +h)-f(3) h (C) lim h→0 || f(3+h)-f(3) h

A:

Q: If f is C2 on an interval prove that f(2 + k) – 2/(2) + {(z =A) = r"(2). - lim h-0 h2 = f"(x). The…

A:

Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…

Q: B. Determine if lim f (x) = f (c)

A: