USE R

Suppose a is from 1 to 100, and a function F can be calculated as below, we sum up 1/i where i is from a to 100.

F(a) = sum from i=a to 100 1/ i

(a) Write a function called Myfunction to input a (a should be from 1 to 100) and output F(a), when a is out of bound, print Out Of Boundary.

(b) Use your function to find F(a) when a is 10,50,100 and 150.

(c) Make a scatter plot which use a as x-axis, F(a) as y-axis, and add a straight line to show the trend.