What is the limit as x approaches negative infinity of (1.001) ^x ... ?

Question

Yael Pennington

Mathematics

22 March, 07:42

What is the limit as x approaches negative infinity of (1.001) ^x ... ?

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Suarez · Answer 1

To answer this question we need to know that because x will always be negative, it is the same as saying lim as x approaches infinity of 1 / (1.001) ^x. That is why we can say that the denominator will get bigger and bigger, making the fraction and therefore the limit closer and closer to 0.