límits i continuïtat de funcions - matessantboianes
límits i continuïtat de funcions - matessantboianes
límits i continuïtat de funcions - matessantboianes
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
x<br />
6<br />
a) lim = lim x = 0<br />
x→03 x x→0<br />
lim<br />
3<br />
x 1 1<br />
x→0<br />
b) lim = lim = = ` →<br />
x→0xx→06 x 0<br />
lim<br />
− 6<br />
+ x→0 6<br />
x<br />
x − 2<br />
x − 2<br />
c) lim = lim li<br />
x→232x→23 x − 3x + 2<br />
x −2 x − 1<br />
= m<br />
( )( ) x→2<br />
d) lim<br />
x→2<br />
x − 2<br />
=−<br />
x − 4<br />
2 − 2<br />
2<br />
Solucionari<br />
7<br />
1<br />
⎫⎪<br />
no existeix ⎪<br />
x<br />
⎬<br />
⎪ → No existeix lim<br />
1<br />
⎪<br />
=+ `<br />
⎪<br />
⎭⎪<br />
6<br />
3<br />
x − 2<br />
0<br />
x − 1<br />
=<br />
x − 2<br />
x − 4<br />
1<br />
e) lim = lim lim<br />
x→4 x − 4 x→4 x − 4 x + 2 x→<br />
4 x<br />
=<br />
( )( ) + =<br />
1<br />
2 4<br />
x − 9<br />
x 9 x 3<br />
f) lim lim lim x<br />
x→9 x − 3 x→9 x 9<br />
x→9<br />
=<br />
( − )( + )<br />
= ( + 3) = 6<br />
−<br />
3 2<br />
x + 11x + 31x + 21<br />
079 Si f( x)=<br />
, <strong>de</strong>termina:<br />
3 2<br />
x + 7 x<br />
a) lim f( x)<br />
x → 3<br />
b) lim<br />
x →−7<br />
f( x)<br />
a) lim<br />
x→3<br />
3 2<br />
c) lim<br />
x →−3<br />
f( x)<br />
d) lim f( x)<br />
x → 0<br />
x + 11x + 31x + 21 240 8<br />
= =<br />
3 2 x + 7x<br />
90 3<br />
3 2<br />
e) lim<br />
x → +`<br />
f) lim<br />
x →−`<br />
x + 11x + 31x + 21 ( x + 1)(<br />
x + 3)( x + 7)<br />
b) lim = lim<br />
=<br />
x→−73 2 x + 7 x<br />
x→−72<br />
x ( x + 7 )<br />
c) lim<br />
x→<br />
−3<br />
d) lim<br />
x→0<br />
e) lim<br />
x→<br />
+ `<br />
f) lim<br />
x→<br />
−`<br />
3 2<br />
=<br />
x + 11x + 31x + 21<br />
= 0<br />
3 2 x + 7 x<br />
( x + 1)( x + 3) 24<br />
lim<br />
=<br />
2 x<br />
49<br />
x→<br />
−7<br />
f( x)<br />
f( x)<br />
1 .<br />
x→0 6<br />
x<br />
3 2<br />
lim f ( x ) =+ ` ⎫⎪<br />
x + 11x + 31x + 21 21<br />
−<br />
⎪<br />
x→0<br />
= = ` →<br />
⎬<br />
⎪ → lim f( x)<br />
=+`<br />
3 2 x + 7x<br />
0<br />
lim f( x)<br />
=+ ` ⎪ x→0<br />
⎪<br />
+ x→0<br />
⎭⎪<br />
3 2<br />
x + 11x + 31x + 21<br />
= 1<br />
3 2 x + 7x<br />
3 2<br />
x + 11x + 31x + 21<br />
= 1<br />
3 2 x + 7x<br />
441
Change language