March 07, 2006 8:45 am
Larson ch 1.3, p. 64 - 66
19.

In[1]:=

y = Sin[x]

Out[1]=

Sin[x]

In[2]:=

Limit[y, xπ/2]

Out[2]=

1

In[3]:=

Plot[y, {x, -2π, 2π}, PlotStyleRed] ;

[Graphics:HTMLFiles/index_6.gif]

In[4]:=

Clear[y]

In[5]:=

y = Tan[x]

Out[5]=

Tan[x]

In[6]:=

Limit[y, xπ]

Out[6]=

0

In[7]:=

Plot[y, {x, -2π, 2π}, PlotStyleBlue]

[Graphics:HTMLFiles/index_13.gif]

Out[7]=

⁃Graphics⁃

In[8]:=

Clear[y]

In[14]:=

y = Cos[((π) x)]

Out[14]=

Cos[π x]

In[15]:=

Limit[y, x1]

Out[15]=

-1

In[17]:=

Plot[y, {x, -2π, 2π}, PlotStyle Red] ;

[Graphics:HTMLFiles/index_21.gif]

22.

In[18]:=

Clear[y]

In[19]:=

y = Sin[(π) x/2]

Out[19]=

Sin[(π x)/2]

In[20]:=

Limit[y, x1]

Out[20]=

1

In[21]:=

Plot[y, {x, -2π, 2π}, PlotStyleBlue] ;

[Graphics:HTMLFiles/index_28.gif]


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