Exercise
$\lim_{x\to0}\left(\frac{7-\sqrt{x+1}}{x}-7\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of (7-(x+1)^(1/2))/x-7 as x approaches 0. 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\to0}\left(\frac{7-\sqrt{x+1}}{x}\right) by replacing all occurrences of x by 0. Add the values 0 and 1.
Find the limit of (7-(x+1)^(1/2))/x-7 as x approaches 0
Final answer to the exercise
The limit does not exist