Could you solve this for me please

Modern computers nowadays store large amount of numbers using a method called \"double precision oating point", which is a binary format. Numbers are stored in the form of b x 2" where 53 bits are used to store the number b and 11 bits are used to store the exponent k. As a result, the computer can only store real numbers up to a certain precision and the algorithms used to compute e", sin[x], cos[x] and other functions are designed so that the error in the computation is almost entirer due to rounding the result to the nearest number which can be stored by the computer. Look at how many terms in the Taylor series would be needed to compute these functions to this level of accuracy. Recall Taylor's Theorem states for a smooth function f that 2 3 n f(x + a) = rm) rm) + %f"(a) +%f\"'(a) + m+%f"(a) +3.00 Where xn+1 Rn(x) = m fn+1(a + Bx) forsome 0