The diameter of a circle is 38 in. What is the circumference of the circle? (Use = 3.14.)
1 answer:
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Rationalize both the numerator and denominator. Given
we can rationalize it by introducing conjugates of the numerator and denominator:
Then the limit is equivalent to
For the remaining expression, divide through uniformly by :
As <em>n</em> goes to infinity, the remaining terms containing <em>n</em> converge to 0, leaving
making the overall limit 3.