Final answer to the problem
Step-by-step Solution
How should I solve this problem?
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- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Factor the polynomial $4x^2+5x$ by it's greatest common factor (GCF): $x$
Learn how to solve limits of exponential functions problems step by step online.
$\lim_{x\to0}\left(\left(\frac{x\left(4x+5\right)}{3x^2+2x}\right)^{\frac{\sin\left(2x\right)}{x}}\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of ((4x^2+5x)/(3x^2+2x))^(sin(2x)/x) as x approaches 0. Factor the polynomial 4x^2+5x by it's greatest common factor (GCF): x. Factor the polynomial 3x^2+2x by it's greatest common factor (GCF): x. Simplify the fraction \frac{x\left(4x+5\right)}{x\left(3x+2\right)} by x. Apply the power rule of limits: \displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}.
