Question

Evaluate the limit, if it exists. lim h → 0 (1/h - 1)/h?

Answer 1

To evaluate the limit lim h → 0 (1/h - 1)/h, simplify the expression step by step and take the limit as h approaches 0. The denominator becomes 0, so the limit does not exist.

Step-by-step explanation:

To evaluate the limit lim h → 0 (1/h - 1)/h, we can simplify the expression step by step.

First, let's simplify the numerator: (1/h - 1) = (1 - h)/h.

Next, we can rewrite the expression as ((1 - h)/h)/h.

Now, we can simplify further: ((1 - h)/h)/h = (1 - h)/(h^2).

Finally, when we take the limit as h approaches 0, the denominator becomes 0. Therefore, the limit does not exist.