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aleksklad [387]
3 years ago
8

What is the limit of

title=" \frac{1- e^{x} }{1+2e^x} " alt=" \frac{1- e^{x} }{1+2e^x} " align="absmiddle" class="latex-formula"> as x approaches infinity. Steps PLEASE.
Mathematics
1 answer:
Hoochie [10]3 years ago
5 0
Hello,

\lim_{x \to \infty}  \dfrac{1-e^x}{1+2e^x}\\

= \lim_{x \to \infty}  \dfrac{ \dfrac{1-e^x}{e^x}}{ \dfrac{1+2e^x}{e^x}}\\

= \lim_{x \to \infty}  \dfrac{ \dfrac{1}{e^x}-1}{\dfrac{1}{e^x}+2}\\

 = \dfrac{0-1}{0+2} =- \dfrac{1}{2}
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Step-by-step explanation:

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<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the trinomial 6x² + 13x + 6.

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ax² + bx + c

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More about the polynomial link is given below.

brainly.com/question/17822016

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Step-by-step explanation:


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