Question

Lim x->3 ((9-2x)/3)^tgpi.x/6

Answer 1

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Answer 2

To evaluate the given limit, we can substitute the value of x into the expression and simplify it. Here's how you can do it step by step:

Step 1: Substitute x = 3 into the expression: lim(x->3) ((9 - 2x)/3)^(tan(pi*x)/6)

Step 2: Calculate the value of the expression when x = 3: ((9 - 2 * 3)/3)^(tan(pi * 3)/6) = (3/3)^(tan(3pi)/6) = 1^(tan(3pi)/6) = 1^0 = 1

Thus, the limit is equal to 1.