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Linear Functions

lim x->0 [(si...

Question

lim x->0 [(sinx)^1/x + (1/x)^sinx] equals

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Q. The value of

{lim}_{x \to 0} ({(sin x)}^{1 / x} + {(1 + x)}^{sin x})

x > 0

lim x \to 0 \frac{\int_{0}^{t^{2}} cos t^{2} d t}{x sin x}

Q. The value of

lim x \to 0^{+} [x sin (\frac{1}{x}) + (sin x)^{1 / x} + {(\frac{1}{x})}^{sin x}],

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f (\frac{1}{\sqrt{3}})

Q. Differentiate

(i)

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x^{x \cos x +} \frac{x^{2} + 1}{x^{2} - 1}

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x^{x^{2} - 3} + {(x - 3)}^{x}^{2}

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