Which of the following limit is not in the indeterminant form ? Options: A . &nbsp lim x → a x 3 − a 3 x − a B . &nbsp lim x → a s i n x c o s e c x C . &nbsp lim x → 0 x x D . &nbsp lim x → 0 0 x

Answer: Option D : D ∵ lim x → a x 3 − a 3 x − a = ( 0 0 inderminant form) lim x → a s i n x c o s e c x = ( 0 × ∞ inderminant form) lim x → a x x = ( 0 0 inderminant form) lim x → a 0 x = 0 ( not inderminant form)

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

Question

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

Options:

A .

lim x \to a \frac{x^{3} - a^{3}}{x - a}

B .

lim x \to a s i n x c o s e c x

C .

lim x \to 0 x^{x}

D .

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

Answer: Option D
:
D

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

$lim x \to a s i n x c o s e c x = (0 \times \infty inderminant form)$

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

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

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