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Solving: $\lim_{x\to x}\left(\left(1-2x\right)^{\frac{1}{x}}\right)$
Solve instead: $\lim_{x\to o}\sqrt[x]{1-2x}$

Exercise

$\lim_{x\to o}\sqrt[x]{1-2x}$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to x}\left(\left(1-2x\right)^{\frac{1}{x}}\right)$ by replacing all occurrences of $x$ by $x$

$\left(1-2x\right)^{\frac{1}{x}}$

Final answer to the exercise

$\left(1-2x\right)^{\frac{1}{x}}$

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 of Exponential Functions

Those are limits of expressions of the form f(x)^g(x).

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