limit as x approaches 0 of (1+3/(x^4))^x

解答

x \to 0 lim ((1 + \frac{3}{x ^{4}})^{x})

1

求解步骤

x \to 0 lim ((1 + \frac{3}{x ^{4}})^{x})

如果

x \to a - lim f (x) = x \to a + lim f (x) = L

则

x \to a lim f (x) = L

x \to 0 - lim ((1 + \frac{3}{x ^{4}})^{x}) = 1

x \to 0 + lim ((1 + \frac{3}{x ^{4}})^{x}) = 1

= 1

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