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lim x 3 f(x) = 3 lim x 3 g(x) = 10
x^ lim 3 g(x)^2 f(x) f(x)
F ( x ) = 2 x
x^2 + 5 x + 6
g (^) ( x ) = sin ^1 ( x^2 1 )
lim x 9 +
ln ( x 9)
y = 2 x^2 7 x
f ' ( a )
f ( t ) = (^3) t^ t + 3+ 3
1 Given that,
Evaluate the limit:
2 Write an equation that expresses the fact that a function f is continuous at the number 4.
3 State the domain.
4 Over what interval(s) is the following function continuous?
5 Find the limit.
6 Find an equation of the tangent line to the parabola at the point ( 5, 15 ).
7 Find.
Name: __________________ Class: Date: _____________
lim h 0
(1 + h )^3 1 h
lim x 5
5 x^^ 3125 x 5
f ( x ) = x^3 16 x + 7
lim h 0
cos (3 + h ) + 1 h
f ( x ) =
1 x x < 1 x 1 x < 3
{ ( x 3)^2 x 3
lim x a f ( x )
f ( 3 ) = 1
lim
x 3 2 f^ (^ x )^ g^ (^ x )^ =^3 g^ (^3 )
8 The limit represents the derivative of some function f at some number a.
.
State f and a.
9 The limit represents the derivative of some function f(x) at some number a.
State f(x).
.
10 Find the derivative of the function using the definition of derivative.
11 The limit represents the derivative of some function f(x) at some number a.
State f(x) and a.
.
12 Consider the following function,
and determine the values of a for which exists.
13 If f and g are continuous functions with and
, find
Name: __________________ Class: Date: _____________
