$\displaystyle \lim_{x\to\0}\frac{x}{\frac{1}{6}+\frac{1}{x-6}}$ I keep getting 36(36), actual answer is-36.
I get $\displaystyle \frac{x(6(x-6))}{\frac{6+x-6}{6(x-6)}}$ which equals $\displaystyle (6(x-6))(6(x-6))$
What have I done wrong?
$\displaystyle \lim_{x\to\0}\frac{x}{\frac{1}{6}+\frac{1}{x-6}}$ I keep getting 36(36), actual answer is-36.
I get $\displaystyle \frac{x(6(x-6))}{\frac{6+x-6}{6(x-6)}}$ which equals $\displaystyle (6(x-6))(6(x-6))$
What have I done wrong?