Let a=7 and b=5

a) lim x-->1 f(x)= 1 , lim x-->1 g(x)=0 , lim x-->1 f'(x)= a+2=9 , and lim x-->1 g'(x)= b+2 = 7

Compute lim x-->1 f(x)^((b+1)/g(x))

b) f(x)= (1/12)(b+2)kx^4-(1/2)(k^2+b+1)x^2+ax+b

With k as a constant. F(x) has an inflection point at x=1, so what is k? Please show your work!