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Exercise

$\lim_{x\to e}\left(\frac{\sin\left(4x\right)-4xcos\left(4x\right)}{4x-sin\left(4x\right)}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to e}\left(\frac{\sin\left(4x\right)-4x\cos\left(4x\right)}{4x-\sin\left(4x\right)}\right)$ by replacing all occurrences of $x$ by $e$

$\frac{\sin\left(4e\right)-4e\cos\left(4e\right)}{4e-\sin\left(4e\right)}$

Final answer to the exercise

$\frac{\sin\left(4e\right)-4e\cos\left(4e\right)}{4e-\sin\left(4e\right)}$

Try other ways to solve this exercise

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
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