# Evaluate the limit # lim_(n rarr 0) (lamda^n-mu^n)/n# ?

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then

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# lim_(n rarr 0) (lamda^n-mu^n)/n = ln (lamda/mu) #

We seek:

Which we can now just evaluate to get:

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The limit of (lambda^n - mu^n)/n as n approaches 0 is equal to lambda - mu.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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