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Exercise

$\lim_{x\to-infinito}\left(x^7\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to{- \infty }}\left(x^7\right)$ by replacing all occurrences of $x$ by $- \infty $

$\left(- \infty \right)^7$
2

Simplify $\left(- \infty \right)^7$ by taking the minus sign ($-$) out of the power

$- \infty ^7$
3

Infinity to the power of any positive number is equal to infinity, so $\infty ^7=\infty$

$- \infty $

Final answer to the exercise

$- \infty $

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
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Main Topic: Operations with Infinity

Indications for how we should operate with infinity. Very useful to solve limits.

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