Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve using limit properties
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- 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
- Integrate by substitution
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The limit of a polynomial function ($\sqrt{x^2+5x}-x$) when $x$ tends to infinity is equal to the limit of it's highest degree term (the term that when i'ts evaluated at a high value, grows quickier to infinity), so it's solution is equivalent to calculating the limit of only the highest degree term
Learn how to solve limits to infinity problems step by step online.
$\lim_{x\to\infty }\left(\sqrt{x^2+5x}\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of (x^2+5x)^1/2-x as x approaches infinity. The limit of a polynomial function (\sqrt{x^2+5x}-x) when x tends to infinity is equal to the limit of it's highest degree term (the term that when i'ts evaluated at a high value, grows quickier to infinity), so it's solution is equivalent to calculating the limit of only the highest degree term. Evaluate the limit \lim_{x\to\infty }\left(\sqrt{x^2+5x}\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so =\infty. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0.