Correct Option: C

Taylor series expansion of f(x) about a is given by

f(x) = f(a) +	(x - a)	f '(a) +	(x - a)2	f ''(a) + .......
	1!		2!

coefficient of (x - a)4 is	f ''''(a)
	4!

Now f(x) = e^x
⇒ f ''''(x) = e^x
⇒ f ''''(a) = e^a
Hence for a = 2,

	f ''''(a)	=	e2
	4!		4!