Question

Evaluate f(x) for values of x near 1 to support your conjecture (calculator allowed):

(a) Use the limit definition
(b) Substitute values
(c) Apply L'Hôpital's Rule
(d) Graph the function

Answer 1

To evaluate f(x) for values of x near 1, you can use different methods such as the limit definition, substituting values, applying L'Hôpital's Rule, or graphing the function.

Step-by-step explanation:

To evaluate f(x) for values of x near 1, we can use different methods:

(a) Use the limit definition: By taking the limit as x approaches 1, we can evaluate the function.

(b) Substitute values: Substitute values of x near 1 into the function to calculate the corresponding f(x).

(c) Apply L'Hôpital's Rule: If the function is in an indeterminate form near 1, we can use L'Hôpital's Rule to find the limit.

(d) Graph the function: Plot the graph of the function and use it to estimate the value of f(x) near 1.