2. Given the graph below of f (x) = e* determine the limit of the following exponential functions. a. lim e* = x+1 b. lim ex = e2 = 7.389 x-2 c. lim e* = X3 d. lim e* = e-1 = 0.367 X-1 lim e* = е. X-2 -3 -2 -1 01 3

Q: 2. Evaluate lim,.

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

Q: (b) Estimate L(2), L(5), and L(6). L(2) = 400 L(5) = 900 L(6) = 1100 Interpret your answers. f(2)…

A:

Q: Use the graphs of f and g and their tangent lines at (-1,0) to find f(x) lim Number x-1 g(x) y f(x)…

A:

Q: . Give a function f (x) which tends to 0 as x tends to infinity.

A: We have to find a function which tends to 0 as x tends to infinity.

Q: The graph below is the function f(x) -4 -3 -2 -1 8-1 lim 24-2 4 3 2 1 Determine the following…

A: Solution: As we can see in the graph

Q: For each part of this question, refer to the graph of g(x) shown below. 6 -6 -5 -4 a. lim g(x) Z-1…

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Q: 4. Sketch a graph of a function g(x) with g(1) = 2 and lim g(x)=0. x→1

A:

Q: Lijah opened an account at Advantis Credit Union. The balance of her account after x years is…

A: The balance in the account after x years is represented by the function bx=5001.05x. a. Consider,…

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.