Step-by-step explanation
Problem to solve:
$\lim_{x\to-6}\left(\frac{\sqrt{10-x}-4}{x+6}\right)$
Learn how to solve limits problems step by step online.
$\lim_{x\to-6}\left(\frac{\sqrt{10-x}-4}{x+6}\frac{\sqrt{10-x}+4}{\sqrt{10-x}+4}\right)$
Learn how to solve limits problems step by step online. Evaluate the limit of ((10-x)^0.5-4)/(x+6) as x approaches -6. Applying rationalisation. Multiplying fractions. Solve the product of difference of squares \left(\sqrt{10-x}-4\right)\left(\sqrt{10-x}+4\right). Evaluate the limit by replacing all occurrences of x by -6.
Final Answer
$-\infty $