Consider the following functions and calculate their limits as x a numerically by computing the values of the functions near x = a. Make sure you compute the limit from both sides of a and include a table showing your calculations. f(x) cosx-1 = a = 0 x 5) f(x) = x-2 x-x-21 2x-4 a = 2 tan x2-x-2/ Let f (x) = 5*, and estimate f'(2) numerically by using definition of derivative for small enough values of h. Consider the function f(x) = e-2x In(x + 5), and find the equation for the line tangent to f(x) at x = 0. Plot both f(x) and the tangent line in one graph to show that your answer is correct. Position of an object as a function of time is given by x = (3+3 + 2t2 + 5t - 1) cos 2t. Find velocity and acceleration of this object. Plot position, velocity, and acceleration of this