Exercise 2. Consider the functions g(x) and h(x) with the following graphs: Compute lim(g(x)+ h(x)). x→0

Q: Given that f(x) = 2x² +1, find:“ f(x+h)- f(x) f(x+h)– f(x). lim h→0 h h

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: 1. Let g(x) = 3 %3D I-2 a. Compute lim, g(x); - L X- 2 b. Give equations of any horizontal and…

A: The objective of the question is determine the limit of the given function and find its asymptotes.

Q: Let f(x) = x3+x. Evaluate lim s→0 (f(x + s) − f(x))/s .

A:

Q: Sketch the graph of one and only one function f which satisfies all the conditions listed below. a.…

A: given f(-x)=-f(x)⇒function is oddlimx→4-f(x)=∞ andlimx→4+f(x)=-∞⇒vertical aymptote at…

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

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

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: Consider the graph of the function f(x) below. What is the value of the lim x→3? What is f(3)? this…

A: Here, the objective is to find the following: 1) limx→3fx2)f3

Q: In a model of the nervous system, the intensity of excitation of a nerve pathway is given by I = E[1…

A: Given  that: I=E1-e-a(S-h)E

Q: Suppose f (x) -7x -3x - 8 Evaluate: lim f (x) x→5

A: This is question of limit and continuity Here we have to find limit of function at given value…

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: Use the given graph of the function y = f(x) to find the following quantities, if they exist. (If an…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.