The hyper geometric series :the infinite series

[1+ (ab/1!c)x+[a(a+1)b(b+1)/(2!c(c+1)]x^2+{[a(a+1)(a+2)b(b+1)(b+2)]/[3!c(C+1)(c+1)(c+2)]}x^3+....]

Where a,b and c are neither 0 nor negative integers,,

Please can anyone help me to prove by explaining that the hyper geometric series is converges??! :confused:

any help would be appreciated ,thank you