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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
Learn how to solve limits to infinity problems step by step online.
$\lim_{x\to\infty }\left(\frac{x^2+4}{5+3e\cdot e^{2x}}\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of (x^2+4)/(5+3e^(2x+1)) as x approaches infinity. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Separate the terms of both fractions. Simplify the fraction .