Exercise
$\lim_{x\to0}\left(\frac{x^2+3x-10}{x^2}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of (x^2+3x+-10)/(x^2) as x approaches 0. Factor the trinomial x^2+3x-10 finding two numbers that multiply to form -10 and added form 3. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Evaluate the limit \lim_{x\to0}\left(\frac{\left(x-2\right)\left(x+5\right)}{x^2}\right) by replacing all occurrences of x by 0. Subtract the values 0 and -2.
Find the limit of (x^2+3x+-10)/(x^2) as x approaches 0
Final answer to the exercise
$- \infty $