probability – How do I show that the mean recurrence time for transient states is infinity?

The random variable $$T_i$$, the “Hitting Time of $$i$$” is defined to be the first $$n$$ such that $$X_n=i$$ given that $$X_0=i$$.

By the mean recurrence time of $$T_i$$, I mean the expected value of this random variable.

I wish to show that if $$i$$ is transient, then the expectation does not converge to any finite real number. While this, intuitively makes sense, I do not know how to formally prove this and any help is appreciated.