What is the limit as x approaches 0 of (1+4/(x^4))^x ?

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

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

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

1

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= 1

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What is the limit as x approaches 0 of (1+4/(x^4))^x ?
The limit as x approaches 0 of (1+4/(x^4))^x is 1