Programs should be done in PYTHON!!!

For each question below, write a small Python (or C, or C++, ...) function. The arguments of the trigonometric functions are angles expressed in radians. How could we compute (cos(x) - 1)/x^2 for values of x that are very close to 0? Use the Taylor series of cos(x) near 0. Compare the Taylor series method with the direct evaluation of the formula (cos(x) - 1)/x^2 (in Python, or C, etc.), when |x| is small. Use the values 10^-6,10^-10,10^-16,0 for x. Similarly, how could we compute sin(x)/x for values of x that are very close to 0? Again, use the Taylor formula. Suppose we have a function s(.) that computes s(x) = sin(x) for 0 lessthanorequalto x lessthanorequalto n: s(x) is undefined when x