Exercise
$\lim_{x\to-\infty}\left(\frac{-x}{\left(4+x^2\right)^{\frac{1}{2}}}\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (-x)/((4+x^2)^(1/2)) as x approaches -infinity. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Rewrite the fraction, in such a way that both numerator and denominator are inside the exponent or radical. Separate the terms of both fractions. Simplify the fraction .
Find the limit of (-x)/((4+x^2)^(1/2)) as x approaches -infinity
Final answer to the exercise
$1$