Learn how to solve problems step by step online. Find the limit of (7-(7x)^(1/2))/(x^2+49) as x approaches -infinity. The power of a product is equal to the product of it's factors raised to the same power. 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.

Find the limit of (7-(7x)^(1/2))/(x^2+49) as x approaches -infinity