Q. 7 - Calculus

Question

Determine which of the given forms are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form. 

$\infty +\infty , \infty -\infty , \infty +1, 0+\infty$.

Step-by-Step Solution

Answer

$\infty -\infty$ is the indeterminate form.

Step 1. Given Information.

The limits are $\infty +\infty , \infty -\infty , \infty +1, 0+\infty$.

Check the behavior.

Step 2. Explanation.

Check Indeterminate form.

• $\infty +\infty$- Non-Indeterminate forms for limits as limit tends to infinity.
• $\infty -\infty$- Indeterminate forms for limits as a limit in one of these forms may or may not exist, depending on the situation
• $\infty +1$- Non-Indeterminate forms for limits as limit tends to infinity.
• $0+\infty$- Non-Indeterminate forms for limits as limit tends to infinity.