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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Limits and Derivatives (True/False Statement)
- lim(xrarr0)(1-cos(2x))/x^(2) = 0.
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- If f(x)=x-[x] then lim(xrarr4.5) f(x)=4.
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- lim(xrarr0+)|x|/(x)
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- lim(xrarr0)(e)^(e^x)/(e^x+1)=2e
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- Derivative of f(x) = sin x at point x = 0 is 1.
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- If f(x) - g(x) is constant then f'(x) = g'(x)
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- If d/(dx) (f(x))^(n)=n(f(x))^(n-1)(df(x))/(dx) then (d)/(dx) (sin^3x)=...
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- If d/(dx)(x+|x|).|x|=4x where x gt 0
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- lim(xrarra)(xf(a)-af(x))/(x-a)=f(a)-(a)f'(a).
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- d/(dx)(a^(logasqrtx))=1/(2sqrtx) where a gt 1 inR^+
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- lim(xrarr0)(1-cos(2x))/x^(2) = 0.
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- If f(x)=x-[x] then lim(xrarr4.5) f(x)=4.
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- lim(xrarr0+)|x|/(x)
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- lim(xrarr0)(e)^(e^x)/(e^x+1)=2e
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- Derivative of f(x) = sin x at point x = 0 is 1.
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- If f(x) - g(x) is constant then f'(x) = g'(x)
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- If d/(dx) (f(x))^(n)=n(f(x))^(n-1)(df(x))/(dx) then (d)/(dx) (sin^3x)=...
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- If d/(dx)(x+|x|).|x|=4x where x gt 0
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- lim(xrarra)(xf(a)-af(x))/(x-a)=f(a)-(a)f'(a).
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- d/(dx)(a^(logasqrtx))=1/(2sqrtx) where a gt 1 inR^+
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