Calculus: using Excel to verify limit nth root of n, n goes to infinity

Tutoring calculus, you cover limits. The tutor mentions using Excel for confirmation.

Because of Excel’s power, it can do some particular calculations you might use to verify a calculus limit.

Example:

In my April 19, 2016 post I develop the limit:

limn→∞n^(1/n)=1

also known as the nth root of n as n approaches infinity.

Even when proven, sometimes there might be lingering doubt about a limit so hard to put in everyday context.

Worry no more – you can put it into context, using Excel. Check out the following verification calculations:

=1000^(0.001)=1.006932

=10000^(0.0001)=1.000921

Clearly the limit of 1 is being approached as n increases.

HTH:)

Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.

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