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KUMAR PRAKASHAN-LIMITS AND DERIVATIVES-Textbook based MCQs
- lim(xto0)(|x|)/(x)=………..
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- lim(xtopi)(tanx)/(pi-x)=………
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- If lim(xto 1)(x^(2019)-1)/(x^(n)-1)=-(2019)/(2018) then n=……..
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- lim(xto(pi)/(2))(sin(cosx))/((pi)/(2)-x)=……….
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- lim(xto0^(+))(|sinx|)/(x)=……….
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- lim(xto1)((sqrt(x)-1)(2x-3))/(2x^(2)+x-3)=……
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- lim(xto(pi)/(4))(sqrt(2)sinx-1)/(cos(2x))=………..
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- If 1lrf(x)x^(2)+2x+2,Aax in R then lim(xto-1)f(x)=…………
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- lim(xto5^(+))[x]=……..
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- lim(xto-4^(-))[x]=……….
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- lim(xtoa)(sinx-sina)/(x-a)=…….
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- lim(xto0)(tanx-5x)/(7x-sinx)=….
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- lim(xtoa)(x^((1)/(3))-a^((1)/(3)))/(x^((1)/(5))-a^((1)/(5))),(agt0)=……...
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- If 5f (x)+3f ((1)/(x))=x+2,y=xf(x),then the value of ((dy)/(dx))(x=1) ...
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- If y=1+x+(x^(2))/(2!)+(x^(2))/(3!)+……+(x^(n))/(n!) then (dy)/(dx)=…………
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- lim(xrarra)(xf(a)-af(x))/(x-a)=f(a)-(a)f'(a).
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- If f(x)=x^(n-1)+x^(n-2)+….+1,-1ltxlt1 then f'(x)=…….
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- If f(4)=16 ,f'(4)=2 and f is differentiable of x=4 then lim(xto4)(sqrt...
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- (d)/(dx)(x+|x|)|x|=……..(xlt0)
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- (d)/(dx)(sin180^(@))=………
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