Thread: analysis 4.1.1

4.1.1

How many terms of the series
1 + 1/2 + 1/4 + 1/8 + ...
do we need to take if we are to guarantee that we are within є = 0.0001 of the target value 2?

Originally Posted by pila0688

How many terms of the series
1 + 1/2 + 1/4 + 1/8 + ...
do we need to take if we are to guarantee that we are within є = 0.0001 of the target value 2?

Let then

Therefore,

Now make the error term sufficiently small.