mathepal_19.04.15

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ΕΠΑΛ Γ ΛΥΚΕΙΟΥ

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  • (19/4/2015)

    1. f pi x0 pi ; pi f x0; ( 7)

    2. pi pi , , pi pi pi, ,

    pi , pi .

    ) pi 0x x

    lim f (x)

    R 0x x

    lim f (x)

    = .

    ) f x0 pi , pi x0

    ) :

    1x dx x =

    ) xi pi . ) CV pi. ) : (f g) (x) f (x) g (x) = ( 12)

    3. pi pi : ) (f g) (x) .........+ = ) ( )2(x 5x) ......+ = ) 1 2, 3, f , f , f ,..., f 1 2, 3 f f f .... f ........+ + + + = ( 6)

    pi pi pi pi

    ` .

    [ - )

    xi i fi % Fi % Ni

    0 - 4 40 4 - 8 15

    8 - 12 12 - 16 50

    2

    2x 3

    5(x 9) lim

    2x 9x 9

    = +

    .

    1. pi . 2. = 10 pi pi. 3. pi . 4. .

  • 2

    2

    2x 2x 1 1, x 0

    x

    f (x) , x 0x 2x , x 0

    + +

    pi R.

    1. x 0lim f (x)

    2. x 0lim f (x)

    +

    3. . 4. = 1 = 1, pi pi A 2f (0) f (1) f ( 1)= + .

    2f (x) ln x x= pi f pi (4, -6) 1. pi f. 2. pi . 3. = 8 f pi . 4. pi e

    1f (x)dx .

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