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GATE (EC) 2007 old question

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For the function e?x $e^{- x}$ , the linear approximation around x = 2 is:

(A) (3?x)e?2 $(3 - x) e^{- 2}$ (B) 1?x $1 - x$

(C) [3+22??(1+2?)x]e?2 $[3 + 2 \sqrt{2} - (1 + \sqrt{2}) x] e^{- 2}$ (D) e?2 $e^{- 2}$

Show Hide Correct Ans :: (A) (3?x)e?2 $(3 - x) e^{- 2}$

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