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Exercise

$\lim_{x\to0}\left(\frac{sen\:\left(5x\right)}{x}\right)$

Step-by-step Solution

1

Apply the formula: $\lim_{h\to0}\left(\frac{\sin\left(nh\right)}{h}\right)$$=n$, where $h=x$ and $n=5$

$5$

Final answer to the exercise

$5$

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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Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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