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Solving: $\lim_{a\to a}\left(2\sin\left(\frac{a}{2}\right)\cos\left(a\right)\right)$
Solve instead: $\lim_{a\to w}\left(2\sin\frac{a}{2}\cos a\right)$

Exercise

$\lim_{a\to w}\left(2\sin\frac{a}{2}\cos a\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{a\to a}\left(2\sin\left(\frac{a}{2}\right)\cos\left(a\right)\right)$ by replacing all occurrences of $a$ by $a$

$2\sin\left(\frac{a}{2}\right)\cos\left(a\right)$

Final answer to the exercise

$2\sin\left(\frac{a}{2}\right)\cos\left(a\right)$

Try other ways to solve this exercise

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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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