Limits
Lim x->3 (5x²-8x-13)/(x²-5)
2
Find the domain and vertical asymptotes of the following:
Domain:
x != 3/2, x!= -3/2
VA:
x = 3/2, x = -3/2
Discuss the continuity of y by graphing it
y=(1/x)
Non-removable discontinuity at x=0
lim x->2 (3x²-x-10)/(x²-4)
11/4
DOUBLE JEOPARDY! Find the domain and vertical asymptotes:
y= (x+3)/(x²-9)
Domain: x
x != 3 and x != -3
vertical asymptotes:
x = 3
Discuss the continuity of y by graphing it
y=(x²-1)/(x-1)
Removable discontinuity at x=1
lim x->(π/2) (tan2x)/([x-(π/2)]
Hint: L'hopital's rule
2
Find the domain and the vertical asymptotes:
y= (x²-x-2)/(x-2)
Domain:
x!=2
VA: no VA
Discuss the continuity of y by graphing it
y=sinx
Continuous on entire real line