InterviewSolution
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InterviewSolution
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If `f(x)=|{:(sin x,cosx,tanx),(x^3,x^2,x),(2x,1,1):}|`then `lim_(xrarr0)(f(x))/(x^2)`isA. -1B. 3C. 1D. 0 |
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Answer» Correct Answer - C We have, `f(x)=|{:(sin x,cosx,tanx),(x^3,x^2,x),(2x,1,1):}|` `rArrf(x)=x|{:(sin x,cosx,tanx),(x^2,x,1),(2x,1,1):}|" "["Taking x common form " R_2]` `rArr(f(x))/(x^2)=|{:((sin x)/(x),cosx,tanx),(x,x,1),(2,1,1):}|` `rArrlim_(xto0)(f(x))/(x^2)=|{:(lim_(xto0)(sin x)/(x),lim_(xto0)cosx,lim_(xto0)tanx),(lim_(xto0)x,lim_(xto0)x,1),(2,1,1):}|` `rArrlim_(xto0)f(x)=|{:(1,1,0),(0,0,1),(2,1,1):}|=1(0-1)-(0-2)=1`. |
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