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Find 〖lim〗┬(x→0)⁡x ln⁡〖(x)?〗

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Mathematical Logic

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Find 〖lim〗┬(x→+∞)⁡〖x^(1/x) 〗?

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Mathematical Logic

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Find 〖lim〗┬(x→0^+ )⁡〖x ln⁡x 〗 using l’Hôpital’s rule?

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Mathematical Logic

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Evaluate ∫_0^1▒x^(-1/3) dx?

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Mathematical Logic

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Show that sin(x) ~ x as x → 0?

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Mathematical Logic

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Find the asymptotic form for cosh⁡〖(x)〗 as x → +∞?

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Mathematical Logic

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Find 〖lim〗┬(x→∞)⁡〖e^x/x^n 〗where n is a positive integer?

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Mathematical Logic

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Show that S = 1 + 1/22 + 1/32 + 1/42 + . . . has a finite sum?

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Mathematical Logic

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