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Exercise

$\lim_{n\to n}\left(\frac{4n}{1+4n}\right)^n$

Step-by-step Solution

1

Evaluate the limit $\lim_{n\to n}\left(\left(\frac{4n}{1+4n}\right)^n\right)$ by replacing all occurrences of $n$ by $n$

$\left(\frac{4n}{1+4n}\right)^n$

Final answer to the exercise

$\left(\frac{4n}{1+4n}\right)^n$

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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