MCV4U Properties of Limits Distribute Handout "Properties of Limits Theorems". Strategies: If the limit can not be found by direct substitution because it results in an indeterminate form (ie: ~) then try the following; Factoring Rationalizing Change of variables . One-sided limits. Eg.1: Factoring Strategy 4- x2 7x-x2 lim 3x2 + x-4 a) [4] b) lim [7] C) lim [-7/3 ] x--2 2+x 3x +4 Eg.2: Rationalizing Strategy Vx+1 a) lim [ 1/2 ] b) lim V5-x-V3+x X-0 [-1/2 ] x-1