InterviewSolution
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InterviewSolution
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मान ज्ञात कीजिए- `lim_(xto pi)(1-sin""(x)/(2))/(cos ""(x)/(2)(cos""(x)/(4)-sin""(x)/(4)))` |
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Answer» Correct Answer - `cos y` `lim_(xto pi)(1-sin x//2)/(x/2(cos ""(x)/(2)-sin""(x)/(4)))=lim_(xto pi)((1-sin x//2))/(cos ""(x)/(2)(cos ""(x)/(4)-sin""(x)/(4)))* (cos ""(x)/(4)+sin ""(x)/(4))/(cos ""(x)/(4)+sin ""(x)/(4))*(1+sin x//2)/(1+sin x//2)` `=lim_(xto pi)((1-sin^(2)x//2)(cos ""(x)/(4)+sin ""(x)/(4)))/(cos ""(x)/(2)(cos ^(2)""(x)/(4)-sin ^(2)""(x)/(4))(1+sin""(x)/(2)))` `=lim_(xto pi)((sin ""(x)/(4)+cos ""(x)/(4)))/(1+sin x//2)=((1)/(sqrt2)+(1)/(sqrt2))/(2)=(1)/(sqrt2)` |
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