04-14-2011, 03:55 AM
Xà-5 x^3+2x^2-15x
=lim |x+5|
xà-5 x(x+5)(x-3) X^3+2x^2-15
NOW
x+5 if x>-5
|x+5|= -(x+5) if x<-5
0 if x=-5
Left Hand Limit
Lim _ |x+5|
xà-5 x(x+5)(x-3)
=lim _ -(x+5)
xà-5 x(x+5)(x-3)
=lim _ -1
xà-5 x(x-3)
= -1 = -1
-5(-5-3) -5(-8)
= -1
40
Right Hand Side
Lim |x+5|
xà-5^+ x(x+5)(x-3)
=lim
xà-5^+ x+5 = 1
x(x+5)(x-3) 40
NOW
Left Hand Side # Right Hand Side
LIMIT DOES NOT EXIST AT X= -5
=lim |x+5|
xà-5 x(x+5)(x-3) X^3+2x^2-15
NOW
x+5 if x>-5
|x+5|= -(x+5) if x<-5
0 if x=-5
Left Hand Limit
Lim _ |x+5|
xà-5 x(x+5)(x-3)
=lim _ -(x+5)
xà-5 x(x+5)(x-3)
=lim _ -1
xà-5 x(x-3)
= -1 = -1
-5(-5-3) -5(-8)
= -1
40
Right Hand Side
Lim |x+5|
xà-5^+ x(x+5)(x-3)
=lim
xà-5^+ x+5 = 1
x(x+5)(x-3) 40
NOW
Left Hand Side # Right Hand Side
LIMIT DOES NOT EXIST AT X= -5
