Exercise
$\lim_{x\to-7}\left(\frac{7-\left|x\right|}{7+x}\right)$
Step-by-step Solution
Learn how to solve polynomial long division problems step by step online. Find the limit of (7-abs(x))/(7+x) as x approaches -7. Evaluate the limit \lim_{x\to-7}\left(\frac{7-\left|x\right|}{7+x}\right) by replacing all occurrences of x by -7. Subtract the values 7 and -7. An expression divided by zero tends to infinity. As by directly replacing the value to which the limit tends, we obtain an indeterminate form, we must try replacing a value close but not equal to -7. In this case, since we are approaching -7 from the left, let's try replacing a slightly smaller value, such as -7.00001 in the function within the limit:.
Find the limit of (7-abs(x))/(7+x) as x approaches -7
Final answer to the exercise
$\infty $