what is the value of lim(x→0) ⁷√x?

what is the value of lim(x→0) ⁷√x?

what is the value of lim(x→0) ⁷√x?

Answer

Explanation:

Step1: Aplicar la definición de límite

Sea $y = \sqrt[7]{x}=x^{\frac{1}{7}}$.

Step2: Sustituir $x = 0$

$\lim_{x\rightarrow0}x^{\frac{1}{7}}=0^{\frac{1}{7}} = 0$.

Answer:

$0$