Basic maths-calculus-Q12

+1 vote

lim_{x\rightarrow 0} \frac{sinx}{x(1+cos\thinspace x)}  is equal to ?

(A). 0

(B). 1/2

(C). 1

(D). -1

asked May 19 in Basic Maths by gbeditor (44,560 points)
recategorized Jun 9 by deepak-gatebook

1 Answer

0 votes
 
Best answer

Given limit is simply in the form 0/0.

hence, we can directly apply L-Hopital rule.

lim_{x\rightarrow 0} \frac{sinx}{x(1+cos\thinspace x)}

lim_{x\rightarrow 0} \frac{cosx}{x(-sinx) + (1+cos\thinspace x)}

= 1/2.  

answered May 27 by deepak-gatebook (112,760 points)
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