calculus
Find the limit
limit as x approaches 1 of (2-x)^3tan[(pi/2)x]
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Answers
The limit as x approaches 1 of (2-x)^3tan[(pi/2)x] is -2. This can be seen by factoring the expression out as (2 - x)^3, which is equal to 8 - 12x + 6x^2 - x^3. When x approaches 1, all terms but -x^3 approach 0, so the limit is -2.
