Exercise
$\lim_{x\to3}\left(\frac{x^2+2x-15}{x^2-5x+6}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of (x^2+2x+-15)/(x^2-5x+6) as x approaches 3. Factor the trinomial x^2-5x+6 finding two numbers that multiply to form 6 and added form -5. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Factor the trinomial x^2+2x-15 finding two numbers that multiply to form -15 and added form 2. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values.
Find the limit of (x^2+2x+-15)/(x^2-5x+6) as x approaches 3
Final answer to the exercise
$8$