Math, asked by vishu7784, 9 months ago

I) Evaluate the following limit

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Answers

Answered by rishu6845

Ans----> - √3 / 6

Solution--->

(1) plzzz refer the attachement

(2) In second step we take 2 common from the numerator

(3) In third step we put

1 / 2 = Sin π / 6

(4) In 4th step we apply a formula

SinC - SinD = 2 Cos ( C - D / 2 ) Sin ( C- D / 2 )

(5) In 7th step we divide and multiply denominator by 12

(6) In 11th step we put

( 6x - π ) / 12 = h

when x-------> π , h ----------> 0

(7) In 11th step we used a formula of limit

lim ( Sinh / h ) = 1

h----> 0

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Answered by Aɾꜱɦ

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