Final Answer
Step-by-step Solution
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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. If we directly evaluate the limit \lim_{x\to \infty }\left(\frac{x^2+4}{5+3e\cdot e^{2x}}\right) as x tends to \infty , we can see that it gives us an indeterminate form. We can solve this limit by applying L'H么pital's rule, which consists of calculating the derivative of both the numerator and the denominator separately. After deriving both the numerator and denominator, the limit results in.