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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- limxrarr0 (log (1+x)/sin x is equal to :
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- underset(xrarre)(Lt)((logx-1)/(x-e)) is equal to
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- The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...
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- If (x)=2x and g(x)=(x^(2))/(2)+1, then which of the following can be a...
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- Let f(x) = {:{(x+a, x le1),(ax^2 + 1, x > 1):}. Show that f is continu...
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- Let f(x) = {:{((3x+4tanx)/x, x ne0),(k, x = 0):} then f is continuous ...
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- Let f(x) = x((2^(x) -1)/(1-cosx)) for x ne0. What choice of f(0), if a...
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- If f(x)=x^(2)"sin"(1)/(x), where xne0 then the value of the function f...
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- The value of 'k' which makes the function defined by : f(x) = {:{(sin(...
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- The function given by f(x)=tax x is discontinuous on the set
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- The function f(x)=cotx is discontinuous on the set
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- The function f(x) = [x], where [x] denotes the greatest integer functi...
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- The number of points at which the function f(x)=(1)/(x-[x]) is not con...
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- The function f(x)=(4-x^(2))/(4x-x^(3)) is
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- Let f (x) = x |x|, then f (0) is equal to
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- If f(x) = log |x|, then for x ne 0 f'(x) is equal to
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- Let f(x)=|sinx|. Then
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- The set of points where the function f given by f(x)=|2x-1|sinx is dif...
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- Lt f(x) = |cos x|, then
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- If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is
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