Exercise
$\lim_{x\to-\frac{2}{5}}\left(\frac{10x^2-x-2}{10x^2+9x+2}\right)$
Step-by-step Solution
Learn how to solve limits by l'hôpital's rule problems step by step online. Find the limit of (10x^2-x+-2)/(10x^2+9x+2) as x approaches -2/5. Factor the trinomial 10x^2-x-2 of the form ax^2+bx+c, first, make the product of 10 and -2. Now, find two numbers that multiplied give us -20 and add up to -1. Rewrite the original expression. Factoring by x.
Find the limit of (10x^2-x+-2)/(10x^2+9x+2) as x approaches -2/5
Final answer to the exercise
$-9$