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: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 3. lim f(x) = -2, lim f(x) = 2 and f(2) =…

A: we will find type of graph around given value of x to draw graph

Q: 2. Construct a table of values to investigate 1 if x -1

A:

Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(z) = F(x)G(x)…

A:

Q: x-9 Q.4 Let f (x)={ x+3 ,x#3 Find the value of k for which limf(x)=f(3). k,x 3

A: Given

Q: The figure below shows the graph of a linear function, f(x), whose limit at an unspecified…

A:

Q: The graph below is the function f(x). 5+ 3- -5 -4 -3 4 -2- -3 -4 -5+ Find the following. lim f(x) =…

A: We have to find the limit.

Q: 2. Let g(x) be the following function |12.x – 6x – 3 x –1 (a) Find lim,→-1- 9(x) (b) Find lim,-1+…

A:

Q: Pre The 1-unit growth factor: Prev he 4-unit percent change:

A: Here f(x)=13.3(1.28)x .............(1)

Q: The exponential function k(x) increases at a rate of 75% through the ordered pair (0, 9) and…

A: The exponential function k(x) increases at a rate of 75% through the ordered pair (0, 9)and…

Q: In the given question , match the function with its graph. [The graphs are labeled (a), (b), (c),…

A: Given, f (x) = - ln(-x)

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: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: f(x) - f(a) 15. Use the alternate definition lim x-a of change of f(x) at the given point or value…

A: I have explained everything with in the solution. Please go through that.

Q: The graph below is the function f(x) -4 -3 -2 -1 lim z→ 3+ 4 3 2 1 -1 -2 -3 -4 Determine the…

A: Find the limit from the graph

Q: Let f(x) = (1+x)/". a. Make two tables, one showing values of f for x 0.001, 0.0001, and 0.00001 and…

A: Here we have,  f(x)=1+x1x

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: Verify that each of the following functions have the stated limits. (i) Identity function: Id: VV:…

A:

Q: 14. A species of freshwater fish called Perch was introduced into a large lake. The equation below…

A:

Q: Use the function f(x) = |x-3 | for questions 10-15. 10. Graph f(x) in the space provided, then write…

A: The given function is

Q: 3. A science project studying catapults sent a projectile into the air with an initial velocity of…

A: Given: st=-4.9t2+30t. To be find: velocity functionvt and instantaneous rate of change at t=1.…

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.