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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- lim(nto oo){n" sin"(2pi)/(3n)."cos"(2pi)/(3n)} =
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- underset(xtoa)(lim)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x))=
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- lim(x rarr oo) (1+2/n)^(2n)=
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- If f(9) =9, f^(')(9) = 4, then lim(x rarr 9)(sqrt(f(x))-3)/(sqrtx - 3)...
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- If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k, x =2):} is continuous at x =...
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- The points of discontinuity of f(x) = tan((pix)/(x+1))
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- If the function f(x) = {{:((x^(2)-(a+2)x + a)/(x-2),,x ne 2),(2,,x = 2...
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- The value of f(0) so that the function f(x) = (2x-sin^(-1)x)/(2x+tan^(...
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- How should we define f(x) = (log(1+ax)-log(1-bx))/x at x = 0 so as to...
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- Which of the following is false ?
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- If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 th...
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- Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous...
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- The function f(x)=|x|+(|x|)/(x) is
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- If f(x)={((1-cosx)/(x),xne0),(k, x=0):} is continuous at x=0 then k=
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- If f(x) = {((sin 5x)/(x^(2)+2x), x ne 0),(k+1/2, x =0):} is continuous...
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- Which one of the following is not true always?
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- The points of discontinuity of f(x) = tan((pix)/(x+1))
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- Let f(x) = {(-2sinx, x le -pi/2),(asinx +b, -pi/2 lt x lt pi/2),(cosx,...
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- Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)], if f(x)...
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- Consider f(x)={{:((x^(2))/(|x|)","x!=0),(0","x=0.):}
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