Question

lim teta→0 sin m square teta/teta equal to

Answer 1

Answer:

0

Explanation:

I am taking thetha as x for convenience

= lim (x to 0) (Sin²x)/(x)

= lim. (x to 0) (sinx)/(x) * (sin x)

= lim (x to 0)( sinx)/x) × (lim x to 0) sinx. (we can seperate because sinx is continuous through the limit)

= 1 × 0 = 0

(OR)

lim x to 0) (sinx)/(x)

is 0/0 indeterminate, so we can use L'Hopital Rule,

= (lim x to 0) (2 sinx cos x)/1)

= 0

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