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If the graph of the function y=f(x) has ...

If the graph of the function `y=f(x)` has a unique tangent at point `(e^(a),0)` (not vertical, non-horizontal) on the graph, then evaluate `lim_(xtoe^(a))((1 +9f(x))-"tan"(f(x)))/(2f(x))`.

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