Consider the following functions and calculate their limits as x a numerically by computing the values of the functions near x a

Question

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 cos x 1 5 f x x a 0 X 2 x x 21 tan 2x 4 x x 2 a 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 3t 2t 5t 1 cos 2t Find velocity and acceleration of this object Plot position velocity and acceleration of this

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