Let f ( x ) = 5 - | x - 2 | and g x = x + 1 , x ∈ R . If f ( x ) attains maximum value at α and g ( x ) attains minimum value at β , then l i m x → - α β x - 1 x 2 - 5 x + 6 x 2 - 6 x + 8 is equal to

Question

Let f ( x ) = 5 - | x - 2 | and g x = x + 1 , x ∈ R . If f ( x ) attains maximum value at α and g ( x ) attains minimum value at β , then l i m x → - α β x - 1 x 2 - 5 x + 6 x 2 - 6 x + 8 is equal to, 3 2, 1 2, - 3 2, - 1 2

MARKS App · Accepted Answer

Maxima of f x will occur at x = 2 i.e., α = 2 Minima of g ( x ) will occur at x = - 1 i.e. β = - 1 ∴ l i m x → 2 ( x - 1 ) ( x - 2 ) ( x - 3 ) ( x - 2 ) ( x - 4 ) = 1 2 .

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