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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- For continuity, at x=a, each of lim(xtoa^(+))f(x) and lim(xtoa^(-))f(x...
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- True or False : d/(dx) (log10x) = 1/x for all x >0
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- True or False : If underset(x rarr a)Lt f(x)g(x) exists then both un...
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- If f*g is continuous at x=a, then f and g are separately continuous at...
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- All trigonometric functions have inverse over their respective domains...
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- True or False : An increasing function is always a continuous functi...
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- True or False : The function f(x) = |x-1| is a continuous function.
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- True or False : Derivative of an even function is always an odd func...
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- Match the following:
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- limxrarr0 (e^x - 1)/x is equal to :
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- If a>0,a ne1, then log(a)(x^n) =
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- Which of the following is not true
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- underset(xrarr0)lim (e^x -1)/(x) is equal to
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- 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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