\"\"

(a)

The function is \"\\lim_{x\\rightarrow.

Graph the function:

\"\"

Observe the graph:

As \"x\" tends to \"0\" from the right hand side, \"f(x)\" approaches to \"0\".

Complete the table.

\"x\" \"1\" \"0.5\" \"0.2\" \"0.1\" \"0.01\" \"0.001\" \"0.0001\"
\"f(x)\" \"0.1585\" \"0.0411\" \"0.0067\" \"0.0016\" \"0.000016\" \"0.00000016\" \"0.0000000016\"

As \"x\" tends to \"0\" from the right hand side, \"f(x)\" approaches to \"0\".

\"\\lim_{x\\rightarrow.

\"\"

(b)The function is \"\\lim_{x\\rightarrow.

Graph the function:

\"\"

Observe the Graph:

As \"x\" tends to \"0\" from the right hand side, \"f(x)\" approaches to \"0\".

Complete the table.

\"x\" \"1\" \"0.5\" \"0.2\" \"0.1\" \"0.01\" \"0.001\" \"0.0001\"
\"f(x)\" \"0.1585\" \"0.0822\" \"0.0332\" \"0.0166\" \"0.0016\" \"0.00016\" \"0.000016\"

As \"x\" tends to \"0\" from the right hand side, \"f(x)\" approaches to \"0\".

\"\\lim_{x\\rightarrow.

\"\"

(c)

The function is \"\\lim_{x\\rightarrow.

Graph the function:

\"\"

Observe the Graph:

As \"x\" tends to \"0\" from the right hand side, \"f(x)\" approaches to \"0.1666\".

Complete the table.

\"x\" \"1\" \"0.5\" \"0.2\" \"0.1\" \"0.01\" \"0.001\" \"0.0001\"
\"f(x)\" \"0.1585\" \"0.1646\" \"0.1663\" \"0.1666\" \"0.1667\" \"0.1667\" \"0.1666\"

As \"x\" tends to \"0\" from the right hand side, \"f(x)\" approaches to \"0.1666\".

\"\\lim_{x\\rightarrow.

\"\"

(d)

The function is \"\\lim_{x\\rightarrow.

Graph the function:

\"\"

Observe the Graph:

As \"x\" tends to \"0\" from the right hand side, \"f(x)\" approaches to \"\\infty\".

Complete the table.

\"x\" \"1\" \"0.5\" \"0.2\" \"0.1\" \"0.01\" \"0.001\" \"0.0001\"
\"f(x)\" \"0.1585\" \"0.3292\" \"0.8316\" \"1.6658\" \"16.667\" \"166.667\" \"1666.667\"

As \"x\" tends to \"0\" from the right hand side, \"f(x)\" approaches to \"\\infty\".

\"\\lim_{x\\rightarrow.

When the power of \"x\" in the denominator greater than \"3\", the limit approaches to \"\\infty\".

\"\\lim_{x\\rightarrow, where \"n>3\".

\"\"

(a) \"\\lim_{x\\rightarrow.

(b) \"\\lim_{x\\rightarrow.

(c) \"\\lim_{x\\rightarrow.

(d) \"\\lim_{x\\rightarrow.

\"\\lim_{x\\rightarrow, where \"n>3\".