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Substitution Method to Remove Indeterminate Form

Question

$lim x \to 0 x^{2} sin \frac{π}{x} =$
1
0
does not exist
$\infty$

A

1

B

does not exist

C

0

D

\infty

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Solution

Verified by Toppr

$sin πx behaves\ as\ oscillatory\ function\ at$ $x \to 0$
$b u t h a v e f i n i t e v a l u e = 0$
$0 \times f i n i t e v a l u e = 0$

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