i  am in an intro to programming class and we are learning the language python:  def max_collatz_height(n):"""n:int>0returns:int = the largest number produced in the collatz sequence for n e.g.The collatz sequence for 5 is 5 -> 16 -> 8 -> 4 -> 2 ->1The largest number is 16."""pass

python   with a function “harmonic(n)” that computes the n-th harmonic number, write a function “harmonic_all(n)” that returns the number of values generated until all values are obtained as a function of the range of possible values n, then write a function “harmonic_sim(n)” that repeats “harmonic_all(n)” a total of n_sim = 100 times.   function harmonic(n) is written:  def harmonic(n) :     harmonic = 1.00     for i in range(2, n + 1) :          harmonic += 1 / i     return round(harmonic,2)   please help with harmonic_all and harmonic_sim

python3 Write a recursive function called is_palindrome(string) that takes a string parameter and checks if it is a palindrome ignoring the spaces, if any, and returns True/False. Sample output:>>> print(is_palindrome("never odd or even"))True>>> print(is_palindrome("step on no pets"))True

please code in python Write a recursive function to add a positive integer b to another number a, add(a, b), where only the unit 1 can be added, For example add(5, 9) will return 14. The pseudocode is: # Base case: if b is 1, you can just return a + 1 # General case: otherwise, return the sum of 1 and what is returned by adding a and b - 1.