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Home > Documents > >qdë`iË3)(,4),,)-+,. - karlin.mff.cuni.czstanekj/vyuka1819_soubory/cviceni_funkce.pdf ·...

>qdë`iË3)(,4),,)-+,. - karlin.mff.cuni.czstanekj/vyuka1819_soubory/cviceni_funkce.pdf ·...

Date post: 25-Mar-2019
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x0 x x =1 x0 e x 1 x =1. x1 x 2 1 2x 2 x1 x→∞ x 3 x 2 +1 x x8 9+2x5 3 x2 x2 ( 1 x 2 2x x x 2 4 ) x1 x 100 2x+1 x 50 2x+1 x1 x+x 2 +x 3 +...+x n n x1 . x0 (1+x)(1+2x)...(1+nx)1 x x0 (1+mx) n (1+nx) m x 2 x2 (x 2 x2) 20 (x 3 12x+16) 10 . x→∞ x 4 3 ( 3 x 2 +1 3 x 2 1 ) x16 4 x2 x4 x→∞ x 3 (x +1+ x 1 2 x ) xa + xa+ xa x 2 a 2 . x0 x x x0 x x xa xa xa .
Transcript

x→0x

x= 1

x→0ex−1

x= 1.

x→1x2−1

2x2−x−1

x→∞

!x3

x2+1− x

"

x→8

√9+2x−53√

x−2

x→2

#1

x2−2x− x

x2−4

$

x→1x100−2x+1x50−2x+1

x→1x+x2+x3+...+xn−n

x−1.

x→0(1+x)(1+2x)...(1+nx)−1

x

x→0(1+mx)n−(1+nx)m

x2

x→2(x2−x−2)20

(x3−12x+16)10.

x→∞ x43

#3√

x2 + 1 − 3√

x2 − 1$

x→16

4√

x−2√x−4

x→∞√

x3#√

x + 1 +√

x − 1 − 2√

x$

x→a+

√x−

√a+

√x−a√

x2−a2 .

x→0x

x

x→0x

x

x→ax− ax−a

.

x→a

1x− 1

a

x−a

x→0

√x− 3

√x

2 x

x→0

√1− x2

1− x

x→01− x 2x 3x

1− x.

x→0( ax)( bx)

x→aa x− x a

x−a

x→1(1 − x) x 2.

x→∞!1 − 1

x

"x

x→π2( x) x

x→0

!1+ x1+ x

" 1x

x→∞!

x+ax−a

".

x→∞e1+ x

(e3x+e−3x)

x→4x2+7x−44x2−6x+8

x→2x−2√x+2−2

x→0x2 ( 1

x2 )

x

x→∞!

1−2x5−2x

"x.

x→10x− 10

10x

x→0+

!1+x2+x

" 1−√

x1−x

x→1

!1+x2+x

" 1−√

x1−x

x→−∞(#

9x2 + (2x − 1) −#

9x2 − (2x − 1))

x→∞1√

9x+2x2−x√

2.

x→∞(x2−x+1)(x10+x+1)

x→−1

$2x

π+ x

%.

x→−1x3+1(x+1)

x→0 x · e x−11− x

x→2x− 3x

x2

x→π6

2 2 x+ x−12 2 x−3 x+1

.

x→0( 3x− x)(e4x2−3x+1−e)

((x+1)(2x+1)(3x+1))(√

x3+6x+4−2)

x→0( 3x− x)(22−22(x+1))

((x+1)(3x+1)(5x+1))(√

x3+x2+9−3).


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