Question

What are Intermediate Forms?

(a) Forms(f(x)/g(x)) whose limits x tends to ‘a’ can give rational number directly

(b) Forms(f(x)/g(x)) whose limits x tends to ‘a’ can give finite number directly

(c) Forms(f(x)/g(x)) whose limits x tends to ‘a’ can not be infinite output or cannot be solved directly

(d) Forms(f(x)/g(x)) whose limits x tends to ‘a’ can gives finite output

I got this question in semester exam.

This question is from Indeterminate Forms topic in division Differential Calculus of Engineering Mathematics

Answer 1

The correct answer is (c) Forms(f(x)/g(x)) whose limits x tends to ‘a’ can not be infinite output or cannot be solved directly

The explanation: \(\lim_{x\rightarrow a}\)= ^0⁄0 = ^0⁄∞ = ^∞⁄0 = ^∞⁄∞ are all intermediate forms.

Special Rules are made to solve these forms. They cannot be solved directly.