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Let the solution curve y = y(x) of the differential equation (1 + e 2x ) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + y dx dy = 1 pass through the point ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 2 , 0 . Then, ) x ( y e lim x x ∞ → is equal to :

1. 4 π
2. 4 3 π
3. 2 π
4. 2 3 π

Correct answer: 4 3 π

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