Exercise
$\lim_{x\to-3}4-\frac{\sqrt{x^2-1}}{3x+9}$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of 4+(-(x^2-1)^(1/2))/(3x+9) as x approaches -3. The limit of a sum of two or more functions is equal to the sum of the limits of each function: \displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x)). The limit of a constant is just the constant. Evaluate the limit \lim_{x\to-3}\left(\frac{-\sqrt{x^2-1}}{3x+9}\right) by replacing all occurrences of x by -3. Multiply 3 times -3.
Find the limit of 4+(-(x^2-1)^(1/2))/(3x+9) as x approaches -3
Final answer to the exercise
The limit does not exist