Difference Quotient
( f(a+h) - f(a) ) / h
Instantaneous rate of change
( f (x2) - f (x1) ) / ( x2 - x1 )
True or False?
Functs can be continuous but not differentiable
True
Lim x→-oo ( tan - 1 x )
-pi / 2
Lim x→oo ( tan - 1 x )
pi / 2
Lim x→-oo ( e^x )
0
Precise defn.
Lim x→oo f (x) = L
x < N , x > N
|f (x) - L|
Precise defn.
Lim x→oo f (x) = oo
x > N
f (x) > M