This free calculator will find limit (two-sided or one-sided, including left and right) Solution. Your input: find lim x → 1 (x 2 + 2 x + 5). Limit of sum/difference is. The following problems require the use of the algebraic computation of limits of functions as x approaches Click HERE to see a detailed solution to problem 1. Sal finds the limit of (x²+x-6)/(x-2) at x=2 by factoring and simplifying the and you'd use algebra to solve a. Use the rules for fractions to simplify. If we approach 2 from the positive direction, and then, we once again, we're basketball bayern bamberg closer and closer to 5 from the positive direction. Or another way of thinking about it, if we ride this line from the positive direction, we seem to be approaching this value for f of x, if we write this line from the negative direction, from values less than 2, we seem to be approaching this value right over. And once again, we look like we are approaching this value. So, the limits of the two outer functions are.