For the function

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

For the function

p(x)=\dfrac{7e^{2x}-5}{3e^{2x}+1}

, evaluate each of the following limits and state any horizontal asymptote(s): (a)

\displaystyle\lim_{x\to\infty}p(x)

(b)

\displaystyle\lim_{x\to-\infty}p(x)