-0.1 -0.01 -0.001 0.001 0.01 0.1 f(x) -0.1054 -0.0101 -0.001 0.001 0.0099 0.0953 The functionf is continuous and increasing for x > - 1. The table above gives values of f at selected values of x. Of the following, which is the best approximation for lim e2x) ? (A) -2

Q: Let f(x) = 4x + 7 if x -1 if x = -1 2 Select all statements below that you agree with. Note: You may…

A: Advance maths Defination of limit and continuity

Q: Choose a value a for which lim g(x) exists, where x→a O a. 2.5 O b. 3 O c. 4 O d. 5 g(x) = et x - 1…

A:

Q: The graph below is the function f. 6+ 5- 1 O Find each of the following: f(1) = lim f(¹) = Z→O lim…

A:

Q: s the table appropriate for approximating lim f I -2 I? If not, why? -2.1 -2.01 -2.001 -2 -1.999…

A:

Q: Find lim f(x) given the graph of f(x) shown above. X→I™ Select the correct answer below: O-1…

A: Using given graph we have to find given limit.

Q: If 2x < g(x) < xª – a? + 2 for all x, evaluate lim g(x).

A: We will use sandwich theorem to find th required result.

Q: Complete the table and use the result to estimate the limit. Use a graphing utility to graph the…

A: The given expression is: limx→31x+1-14x-3  From the above expression , fx is: fx=1x+1-14x-3  The…

Q: Determine lim g(x) for g as in the figure. х—0.5 y 1.5+ 1. y=g(x) X. 0.5

A: Given, The graph of g(x).

Q: 5. Determine the end behavior of the given functions. lim f(x)= lim f(x)= 2-90

A: We can see clearly   from the graph       as   x is approaches   to  toward   2 from RHS     the…

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: