For the following two (02) items: Let f(x) = cases 1 - 2x x^2 , & x 0 cases What is _ x 0^- f(x) equal to?

Step-by-step solution

For x To find the left-hand limit, we evaluate _ x 0^- f(x) _ x 0^- 1 - 2x x^2 Using the trigonometric identity 1 - 2x = 2 ^2 x _ x 0^- 2 ^2 x x^2 = 2 ( _ x 0^- x x )^2 Since _ x 0 x x = 1 , we get: 2 (1)^2 = 2 Answer: 2