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## Homework Statement

Let

[tex]U(t) = \frac{b^{t+1} - a^{t+1}}{(1+t)(b-a)}[/tex]

My book says that one can use "standard calculus methods to evaluate the limit of the indeterminate expression":

[tex]lim_{t\to0}U(t)^{1/t}[/tex]

Anyone want to fill me in on these methods? And what exactly is an indeterminate expression?