Question

Which of the following limit is not in the indeterminant form ?

• A. $\underset{x\to a}{lim}\frac{x^3-a^3}{x-a}$
• B. $\underset{x\to a}{lim}sinxcosecx$
• C. $\underset{x\to 0}{lim}{x}^x$
• D. $\underset{x\to 0}{lim}\frac{0}{x}$

Answer 1

The correct option is D

$\underset{x\to 0}{lim}\frac{0}{x}$

$\because \underset{x\to a}{lim}\frac{x^3-a^3}{x-a}=(\frac{0}{0}\text{inderminant form)}$

$\underset{x\to a}{lim}sinxcosecx=(0\times \infty \text{inderminant form)}$

$\underset{x\to a}{lim}{x}^x=(0^0\text{inderminant form)}$

$\underset{x\to a}{lim}\frac{0}{x}=0(\text{not inderminant form)}$