The Taylor series for natural logarithm (with base e) In(1+r) is In(1+2) -(-1)+1 for ...

Transcribed Image Text:

The Taylor series for natural logarithm (with base e) In(1+r) is In(1+2) -(-1)+1 for <1. (a) Write a user-defined function using loop that determines In(1+x) using the above Taylor series. Your function must take a and n as input arguments to your user-defined function. is the number of terms you want to keep in your computation. (b) Redo part a). Use vectorized code (NO LOOPS) in your function. (c) Write a program in a script file to find out, at least, how many terms needed in Taylor series that the absolute difference between Taylor series and true value of In(1.7) is less than ( The Taylor series for natural logarithm (with base e) In(1+r) is In(1+2) -(-1)+1 for <1. (a) Write a user-defined function using loop that determines In(1+x) using the above Taylor series. Your function must take a and n as input arguments to your user-defined function. is the number of terms you want to keep in your computation. (b) Redo part a). Use vectorized code (NO LOOPS) in your function. (c) Write a program in a script file to find out, at least, how many terms needed in Taylor series that the absolute difference between Taylor series and true value of In(1.7) is less than (