- #1

- 426

- 25

lim

_{x → ∞}( x r

^{x})

for r < 1

This is an indeterminate form of

*∞ * 0*, but when I try to apply L'Hôpital's rule as

lim

_{x → ∞}( r

^{x}/ ( 1 / x ) )

I end up getting an expression of the form

*x*, with further application of the rule generating higher and higher powers of

^{2}r^{x}*x*

I'm totally stuck!