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KUMAR PRAKASHAN-LIMITS AND DERIVATIVES-Textbook based MCQs
- 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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- (d)/(dx)(sinx^(@))=…….
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- (d)/(dx)(sqrt(sinx))=………..(0ltxlt (pi)/(2))
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- (d)/(dx)(tan^(2)x)=……..
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- (d)/(dx)sqrt(x^(2)-2x+1)=………
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- lim(yto0^(+))(3sqrt(y)+3sqrt(y^(2))-4sqrt(y^(3)))/(3sqrt(y)+y +4sqrt(y...
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- lim(xto1)(x^(365)-365x+364)/((x-1)^(2)) =………..
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- If lim(yto-2)(3x^(2)ax+a+3)/(x^(2)+x-2) limit exists then a=………..
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- lim(hto0)(4sqrt(x+h)-4sqrt(x))/(h)=………...
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- lim(xto1)(x+x^(2)+x^(3)+…….+n^(n)-n)/(x-1)=……….,where nin N
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