InterviewSolution
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InterviewSolution
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Statement -1: `lim_(xrarr pi//2 ) (cot x-cosx)/(2x-pi^3)=(1)/(16)`statement 2 `lim_(xrarr0) (tanx-sinx)/(x^3)=(1)/(2)`A. Statement -1 is true, Statement-2 is true,, Statement-2 is a correct explanation for Statement-1.B. Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for statement -1.C. Statement-1 is true, Statement-2 is False.D. Statement-1 is False, Statement-2 is true. |
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Answer» Correct Answer - A Clearly, `lim_(xto 0) (tanx-sinx)/(x^3) lim_(xto0) (sinx)/(x)xx(1-cos x)/(x^2)=1xx(1)/(2)=(1)/(2)` So, statement -2 is true. Now, `lim_(xto pi//2)(cot x-cos x)/(2x-pi^3)` ` =-(1)/(8)lim_(xtopi)(tan(pi//2-x)-sin(pi//2-x))/((pi//2-x)^3)` `=(1)/(8)xx(1)/(2)=-(1)/(16)` So, both the statements are true and statement -2 is a correct explanation for statement -1. |
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