Question: For each question below. write a small Python (or C, or C++, ...) function. The arguments of the trigonometric functions are angles expressed in radians.

 For each question below. write a small Python (or C, or

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 aeries method with the direct evaluation of the formula (cos(x) -1)/x^2 (in Python, or C, etc.), when Ixl is small. Use the values 10^-6, 10^-10,10^-16, 0 for x. Similarly, how could we compute sin(z)/x for values of x that are very close to 0? Again, use the Taylor formula. Suppose we have a function that computes is undefined when x

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