Write a C program to numerically compute the following series:

$1-\frac{1}{3}+\frac{1}{5}-\frac{1}{7}+\frac{1}{9}-$cdots

As series is known to be convergent to $\frac{}{4},$ approximate $$ using the program.

Hint: Start with the geometric series of

$\frac{1}{1+x^2}=1-x^2+x^4-x^6+x^8-$cdots

integrate both sides to get:

$arctanx=x-\frac{x^3}{3}+\frac{x^5}{5}-\frac{x^7}{7}+\frac{x^9}{9}-$cdots

Substitute $x=1$ to get

$\frac{}{4}=1-\frac{1}{3}+\frac{1}{5}-\frac{1}{7}+\frac{1}{9}-$cdots

i would like this to simply excecute with a $./$a$.$out

not any $-$std$=$c$99$ please

thank you.