What is lim n→∞ (2)^(1/n)? Why is it equal to 1?

Question

What is lim n→∞ (2)^(1/n)? Why is it equal to 1? All proofs shown are about n^(1/n) or something like this form. What about 2?

Answer 1

$\lim _{n \rightarrow \infty} \frac{1}{n}=0$ So, $\lim _{n \rightarrow \infty} 2^{\frac{1}{n}}=2^{0}=1$ As denominator gets bigger and bigger while numerator being constant then fraction gets closer and closer to zero.

Answer 2

As the base $b=2$ is a constant,

$\lim_{n\rightarrow\infty} 2^{(1/n)} = 2^{\lim_{n\rightarrow\infty} (1/n)} = 2^0 = 1.$