Find the indicated limit given that lim f(x) = 5 and lim g(x) = 4. xa lim [2f(x) – 4g(x)]

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: se the following graph of y = f(x) to answer the question. Find (lim x->-2 f(x)) and f(3)

A: Given, the graph of the function y = f(x) We have to find limx→-2f(x)    and f(3) = ?

Q: Evaluate the function for values of x that approach 1 from the left and from the right. f(x) - 1 lim…

A:

Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

A:

Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: Use the graph of f(x) below to answer the following questions: 4 3 2 y y=f(x) 1 1

A:

Q: Estimate the value of lim 1 + 3x 1 by graphing the function f(x) = x/(/I + 3x – 1).

A: It is given that limx→0x1+3x-1 It is known that if we have limx→af(x)g(x), and after plugging the…

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: For the function f(x) = 2/x, calculate lim h->0 (f(1+h) - f(1)) / h

A: Given function:- fx=2x

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

A: Let

Q: f(x) – 5 a. If lim 3, find lim f(x). X-2 X-2 x - 2 f(x) – 5 b. If lim I-2 x - 2 = 4, find lim f(x).

A: 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: Given f(x) = x- 1 and g(x) on the graph below, find lim (g(x) + f(x)J-

A:

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

Q: Suppose lim f (x) = l and lim g(x) = m, then lim (2f(x) + 3g(x)) = 2l + 3m.

A: We have to show given problem:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: