1.4. Coleulating Limits
Ex Lim 4-9x2. lime 4 - kim Sx²
X72
4-20
=-16
(x. i) 13 +21= 1.1
4
9-1
3-1
X12
6) lim x 2/2 im (x+1)+
x317-1
= |+/
=2
Theorem (Direct Sub,
If f is a polynomial rational,
trigonometric function, and
the domain of f
ov
a is in
lim
for points
then kina+(x) = f(a). Also true
points on the interior of
the domain of an algebraic
function
lim
Themen: If f(x) = g(x) when xta; then \in a xa) = lim h g(x)
Lif they exist?
とキム
дать
Conjugate trick
हर
e) x =3
I'm √xt6-3 √x+6 +3
X-3
√286+3
1x-11= {x1, x21
him x2i1 = Lin x 21 = 2
lim x²-/
x-1
lim x+6=9
(x-3)866+3
I'm 3
x23 ( 3 ) JX 76 +3
x93 √x+6+3
c) x=7x+1
lim x21
x=1(x-11
=
lime x²-1
xaľ
(x-11 x+1
-2: fi
Ex Lim 4-9x2. lime 4 - kim Sx²
X72
4-20
=-16
(x. i) 13 +21= 1.1
4
9-1
3-1
X12
6) lim x 2/2 im (x+1)+
x317-1
= |+/
=2
Theorem (Direct Sub,
If f is a polynomial rational,
trigonometric function, and
the domain of f
ov
a is in
lim
for points
then kina+(x) = f(a). Also true
points on the interior of
the domain of an algebraic
function
lim
Themen: If f(x) = g(x) when xta; then \in a xa) = lim h g(x)
Lif they exist?
とキム
дать
Conjugate trick
हर
e) x =3
I'm √xt6-3 √x+6 +3
X-3
√286+3
1x-11= {x1, x21
him x2i1 = Lin x 21 = 2
lim x²-/
x-1
lim x+6=9
(x-3)866+3
I'm 3
x23 ( 3 ) JX 76 +3
x93 √x+6+3
c) x=7x+1
lim x21
x=1(x-11
=
lime x²-1
xaľ
(x-11 x+1
-2: fi
