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1. Identify all critical points, and asymptotes of the function if exist, and explain the behavior for each of them. f(x) = x 2 2

1. Identify all critical points, and asymptotes of the function if exist, and explain the behavior for each of them.

f(x) =x225x2+2

2. Given the following function: f(x) =x4x2 . Find the horizontal and vertical tangent lines, if they exist.

3. Evaluate the limit,limx0x1+x1x if it exists.

4. Findlimx0x2ln(x))

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