Let f(x) = (1 + x)1⁄x.(a)Estimate the value of the limit lim x→0 (1 + x)1⁄x to five decimal places.

Question

Let f(x) = (1 + x)1⁄x.(a)Estimate the value of the limit lim x→0 (1 + x)1⁄x to five decimal places.
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Solution 1

Para estimar el valor del límite (\lim_{x \to 0} (1 + x)^{1/x}) hasta cinco decimales, podemos utilizar la definición del número (e), que es el límite de ((1 + x)^{1/x}) cuando (x) tiende a 0.

Sabemos que: [ \lim_{x \to 0} (1 + x)^{1/x} = e ]

El valor de (e) es aproximadamente 2.71828. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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