Represent the function 71−8x\displaystyle {\frac{{{7}}}{{{1}-{8}{x}}}} as a power series f(x)=∑n=0∞cnxn\displaystyle {f{{\left({x}\right)}}}={\sum_{{{n}={0}}}^{\infty}}{c}_{{n}}{x}^{{n}}

Compute the first few coefficients of this power series:

c0=\displaystyle {c}_{{0}}=  
c1=\displaystyle {c}_{{1}}=  
c2=\displaystyle {c}_{{2}}=  
c3=\displaystyle {c}_{{3}}=  
c4=\displaystyle {c}_{{4}}=  


Find the radius of convergence R=\displaystyle {R}=   .

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