Using matlab create program to show the following -Display the amount of terms u

Question

Using matlab create program to show the following

-Display the amount of terms used.

-Display value of e^1

-Display relative approximate error

The Taylor series for ex at point x = 0 is given by ex = 1 + x + x2 / 2! + x3 / 4! + x4 / 4! + x5 / 5! +... It can be seen that as the number of terms used increases, the error bound decreases and hence a better estimate of the function can be found. How many terms would it require to get an approximation of e1 within a magnitude of true error of less than 10 -6.

Explanation / Answer

n=15

sum=1

x=1

for i=1:n

sum=sum+(power(x,i)/factorial(i));

end

series_sum=sum

disp('e^1:')

exact_value= e^1

Error=exact_value-series_sum

disp('For error to be less than 10^-6')

x=1;

error=100000;

i=1;

sum=1;

while(error>0.000001)

sum=sum+(power(x,i)/factorial(i));

error=exact_value-sum;

i=i+1;

end

n=i

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