Question

Determine functiion value at x=1 , show your steps 7Bx%7D%20-1" id="TexFormula1" title="(\sqrt{x} -1)/\sqrt[3]{x} -1" alt="(\sqrt{x} -1)/\sqrt[3]{x} -1" align="absmiddle" class="latex-formula">

Answer 1

The root of every order of 1 is still 1, in other words, we have

$\sqrt[n]{1}=1$

So, if we evaluate the function at 1, we have

$\dfrac{\sqrt{1}-1}{\sqrt[3]{1}}-1 = \dfrac{0}{1}-1 = 0-1 = -1$