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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- lim(x rarr oo) (1-4/(x-1))^(3x-1) =
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- lim(x rarr 0) (a^(x)-b^(x))/(e^(x)-1) =
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- The value of lim(x rarr 2) 5/(sqrt2 - sqrtx) is
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- The value of lim(x rarr 2) (e^(3x-6) -1)/(sin(2-x)) is
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- lim(x rarr pi/2) (a^(cotx)-a^(cosx))/(cotx-cosx), a gt 0 is equal to
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- lim(x rarr oo) (1+2/n)^(2n)=
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- lim(x rarr 0)"x sin" (1)/(x) is equal to :
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- lim(n to oo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=
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- 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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