Question

What is the value of (∞)^0 and 1^∞?

(a) (0, 1)

(b) (1, 0)

(c) They are indeterminate form

(d) (1, 1)

This question was posed to me in class test.

Asked question is from First Order Derivative in portion Limits and Derivatives of Mathematics – Class 11

Answer 1

Correct option is (c) They are indeterminate form

The best I can explain: If there are forms like ∞-∞, 0*∞, 0^0, (∞)^0 and 1^∞ then they are said to be indeterminate form.

Then to evaluate the limiting value of the function at the point, L’Hospital’s rule is used.