Suppose that f ( x ) {\displaystyle f(x)} is a function such that f ( 1 ) = 0 {\displaystyle f(1)=0} and f ′ ( 1 ) = 2 {\displaystyle f'(1)=2} . Evaluate
lim h → 0 e ( f ( 1 + h ) ) 2 − 1 h {\displaystyle \lim _{h\rightarrow 0}{\frac {e^{(f(1+h))^{2}}-1}{h}}}
