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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
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$\lim_{x\to\infty }\left(e^3xe^{-4x}\right)$
Learn how to solve integrals of rational functions problems step by step online. Find the limit of xe^(3-4x) 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. Calculate the power e^3. Rewrite the product inside the limit as a fraction. If we directly evaluate the limit \lim_{x\to \infty }\left(\frac{e^{3}x}{e^{4x}}\right) as x tends to \infty , we can see that it gives us an indeterminate form.