Question: Take the limit.

(A) \(\underset{x\to \infty }{\mathop{\lim }}\,\frac{{{7}^{x}}-1}{x}\overset{\left( \frac{\infty }{\infty } \right)}{\mathop{=}}\,\)

(B) \(\underset{x\to {{0}^{+}}}{\mathop{\lim }}\,\left( \frac{{{e}^{x}}}{x}-\frac{1}{x} \right)\)