<p>I am having trouble finding the answers to the following limits. </p>

<p>1) lim [sin(ax)]/[bx]

x-> 0</p>

<p>2) lim [sin(ax)]/[sin(bx)]

x-> 0</p>

<p>3) lim [tan(ax)]/[bx]

x-> 0</p>

<p>4) lim [tan(ax)]/[tan(bx)]

x-> 0</p>

<p>5) lim [sin(ax)]/[tan(bx)]

x-> 0</p>

<p>Basically all the questions want you to find the limit as x approaches zero for fractions. In the first problem the numerator is sin(ax) and the denominator is bx. In the second problem the numerator is sin(ax) and the denominator is sin(bx). In the third problem the numerator is tan(ax) and the denominator is bx. In the fourth problem the numerator is tan(ax) and the denominator is tan(bx). In the fifth problem the numerator is sin(ax) and the denominator is tan(bx).</p>