Question

For what value of the constant c is the function f continuous on (- ∞ , ∞ )?

Answer 1

Step 1:

The function .

The function is continuous on .

For a limit to exist, the left hand limit is always equal to right hand limit.

Consider the left hand limit  .

Consider the right hand limit .

Step 2:

For a limit to exist, .

The value of is .

Solution:

The value of is .