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Limit

If lim x → 0ϕ...

Question

If $lim x \to 0 ϕ (x) = a^{3}, a \neq 0$ , then $lim x \to 0 ϕ (\frac{x}{a})$ is

A

a^{2}

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B

\frac{1}{a^{3}}

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C

\frac{1}{a^{2}}

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D

a^{3}

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Solution

The correct option is A $a^{2}$
$lim x \to 0 ϕ (x) = a^{3}$
$\Rightarrow lim x \to 0 ϕ (\frac{x}{a}) = \frac{1}{a} \times a^{3} = a^{2}$

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