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3. The Maclaurin series for e' (up to N terms) is given by FI 2 34 e- In 2! 3! 4! n-0 Write a C
3. The Maclaurin series for e' (up to N terms) is given by FI 2 34 e- In 2! 3! 4! n-0 Write a C program that asks the user to enter the value of x as well as the number of terms N and compute an approximation of e using the Maclaurin series. Use double precision variables. Print the values out to 12 decimal places. Also print the true value of e' for comparison using the exp() function from math.h. See below for some example output. Enter the value of x: 2 How many terms to calculate? 10 The estimated value of e 2.000000 is 7.388712522046 The exp(2.000000) value is 7.389056098931 4. Write a C program which simulates a simple guessing game. The program should choose a random number between 1 and 100 as the secret' number before the game begins. The user should then be continually prompted to enter their guess. After each guess is entered, your program should inform the user whether the secret number is higher or lower, or if they guessed correctly. This should continue until they finally get the number right. HINT: To create the random number, use the following code at the beginning of your main function. You will also need to #include and #include at the top of the program int secret_num; srand(time (NULL)); secret-num- rand () % 100 + 1
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