(a) For what values of

x

is

\\\\sum_(n=0)^(\\\\infty ) (x^(n))/(n!)

convergent? none\

x>=0

\

x

\ for all

x

\

x

\ (b) What conclusion can be drawn about

\\\\lim_(n->\\\\infty )(x^(n))/(n!)

?\

\\\\lim_(n->\\\\infty )(x^(n))/(n)!=0

only for

x

\

\\\\lim_(n->\\\\infty )(x^(n))/(n)!=0

only for

x>0

\ No conclusion can be drawn.\

\\\\lim_(n->\\\\infty )(x^(n))/(n)!=0

for all values of

x

\

\\\\lim_(n->\\\\infty )(x^(n))/(n)!=\\\\infty

for all values of

x

\ Need Help?

(a) For what values of x is n=0n!xn convergent? none x0x0 for all x x0 No conclusion can be drawn. limnxn!=0 for all values of x limnxn!= for all values of x