If f(x) = – 5, then lim f(x) = T→ – 9

Q: f(x) – f(c) If lim exists, it equals the slope of the х — с to the graph of f at the point (c,…

A: If    limx→cf(x)-f(c)x-c  exists;

Q: x=-1 x=1 x%32 -2 EVALUATE lim f (x) x-1-

A:

Q: 2. Assume all given functions are continuous. If lim (f(x) - g(x)) = 10 and ƒ(5) = -8 x → 5 Find g…

A: The objective of this question is to find the value of g(5) given that the limit as x approaches 5…

Q: If 2x - 1 0, find lim f(x). X→2

A:

Q: 3. Consider the function f(x), whose graph is shown below. Determine the limit of a function, by…

A: The limit exists at a point means that ..... LHL left-hand limit of the function should be equal to…

Q: If 3x − 5 ≤ f(x) ≤ x² − 3x + 4 for x ≥ 0, find_lim f(x). x →3

A: given  3x-5≤f(x)≤x2-3x+4for x≥0

Q: If 4x − 1 ≤ f(x) ≤ x² − 1, find lim f(x). x-4

A: Limit

Q: Compute the right-hand derivative D.f(0) = 4x+7 if x<0 {f(x) = 7x+8 if x 20 The right-hand…

A:

Q: 2. Evaluate lim,.

A: (1) Consider the provided limit, limx→91x-191x-9 Find the limit of the above expression. Simplify…

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: If lim f(x) = 4, what can you say about ƒ(1)? x-1

A:

Q: Suppose a function f satisfies f(3+h) – 2 lim = 7. Find an equation for the line tangent to the…

A: Let

Q: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

A: Function given is- f(x)=x2+3       if x&lt;2x3-1      if x&gt;217           if x=2  To find…

Q: If lim f(x) = 8 and f(7) = 3, then lim (4f(2x + 1)) = %3D %3D x→7

A:

Q: If f(x) = Vx² + x – x, find lim f (x), where f(x) is defined at X → 0.

A:

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

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 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: The equation for the line tangent to f (x) at the point (7, 11) is given by y = 12x – 9. Use f(7+h)…

A: The equation of the line tangent is given by y=12x-9 Let ''m'' be the slope of tangent.…

Q: c) If x(0) = 0.5, then find lim x(t). t→∞

A:

Q: If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find  lim x→3 f(x).

A: Consider the following limit condition: g(x)≤f(x)≤h(x)and iflimg(x)=Lx→alimh(x)=Lx→aThen…

Q: Let lim f(x)=4. Find lim (- 5') x→10 x→10

A:

Q: Find the value of lim f(x), if 7x +2 x 5 f(x) = O 20 O 35 O 13 O 8 O 40

A: Solution:Givenf(x)=7x+2x≤53x+5x&gt;5To find:limx→5+f(x)

Q: Use the graph of y = f(x) to find lim f(x). + X→3* lim f(x)= = + 8 x = -1 12 x = 3 too 12 X

A: Here, we have to find indicated limit using given graph.

Q: d. lim f(x) %D X-3-

A: