Answer to Question #314455 in Calculus for sam

Question

Evaluate the following limits.

1. limX→+∞ 5X+6

2. limX→−∞ e4X+7

3.limX→−∞(0.2)X

Answer 1

$1) \lim\limits _{x\to+\infty}(5x+6)=+\infty\\ 2) \lim\limits _{x\to-\infty}(e^{4x}+7)=0+7=7\\ 3) \lim\limits _{x\to-\infty}(0.2)^x=+\infty$

$y=e^{4x}$

$y=0.2^x$