with detailed and clear solution

2 - Vx2 - 1, if x 0 a. Discuss the continuity of f at x = -1 and 0. If discontinuous, classify the discontinuity as either removable, jump essential, or infinite essential. b. Redefine f so that it will be continuous at every point of removable discon- tinuity. log1/T X 2. Evaluate lim tanh e2-I (2 points) 3. Use Squeeze Theorem to evaluate (2 points) x sin (x + 3) lim x2 +1 4. Use the Intermediate Value Theorem to show that the graph of (3 points) f(x) = 23 -7x2 +3x +4 intersects the x-axis twice between x = -2 and x = 2