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Maths-

General

Easy

Question

$Lt subscript x not stretchy rightwards arrow 0 end subscript invisible function application x squared space cos invisible function application 2 over x$

1
0
does not exit
none of these

The correct answer is: 0

$limit as x rightwards arrow 0 of open parentheses x squared cos 2 over x close parentheses W e space k n o w space t h a t comma cos x element of open parentheses negative 1 comma 1 close parentheses T h e r e f o r e comma minus 1 less or equal than cos 2 over x less or equal than 1 minus x squared f open parentheses x close parentheses less or equal than x squared cos 2 over x less or equal than x squared f open parentheses x close parentheses F o r space x rightwards arrow 0 comma 0 less or equal than limit as x rightwards arrow 0 of open parentheses x squared cos 2 over x close parentheses less or equal than 0 H e n c e comma space limit as x rightwards arrow 0 of open parentheses x squared cos 2 over x close parentheses equals 0$

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