CALCOLO DI LIMITI CON I LIMITI NOTEVOLI
E/O CONFRONTO DI INFINITI O INFINITESIMI
lim
x
→
∞
(
2
x
+
2
2
x
+
1
)
x
lim from{x toward infinity } { left ( { 2 sqrt x+2} over { 2 sqrt x+1} right ) ^{sqrt x }}
lim
x
→
−
∞
(
x
+
x
2
−
4
)
lim from{x toward -infinity } { left ( x+sqrt{x^2-4} right ) }
lim
x
→
0
x
tan
x
1
−
cos
3
x
lim from{x toward 0 } {{x tan x} over {1 - cos^3 x} }
lim
x
→
−
∞
x
2
+
1
x
lim from{x toward - infinity} {{ sqrt {x^2+1}} over { x} }
lim
x
→
−
3
x
3
+
7
x
2
−
9
x
−
63
x
4
−
6
x
2
−
27
lim from{x toward -3 } {{ x^3+7x^2-9x-63} over { x^4-6x^2-27 } }
lim
x
→
∞
(
x
2
+
1
x
2
+
4
)
x
2
−
3
lim from{x toward infinity } { left ( { x^2+1} over { x^2+4 } right ) ^{x^2-3} }
lim
x
→
1
(
1
x
−
1
−
2
x
2
−
1
)
lim from{x toward 1 } { left ( { 1}over{x-1}-{2}over{x^2-1} right ) }
lim
x
→
+
∞
2
x
sin
(
2
π
x
)
lim from{x toward +infinity } { 2x sin left ( { 2 %pi }over {x} right ) }
lim
x
→
+
∞
e
x
−
1
e
1
−
x
lim from{x toward +infinity } {{e^x - 1} over { e^{1-x} } }
lim
x
→
1
2
x
−
2
2
2
x
−
1
lim from{x toward 1 over 2 } {{ sqrt x - sqrt 2 over 2} over { sqrt{2x-1} } }
lim
x
→
∞
(
ln
x
−
1
ln
x
+
1
)
ln
4
⋅
ln
x
lim from{x toward infinity } { left ( {ln x-1} over { ln x+ 1 } right ) ^{ln 4 cdot ln x} }
