View source for 007A Sample Midterm 1, Problem 1

<span class="exam">Find the following limits:

<span class="exam">(a) Find &nbsp;<math style="vertical-align: -13px">\lim _{x\rightarrow 2} g(x),</math>&nbsp; provided that &nbsp;<math style="vertical-align: -15px">\lim _{x\rightarrow 2} \bigg[\frac{4-g(x)}{x}\bigg]=5.</math>

<span class="exam">(b) Find &nbsp;<math style="vertical-align: -14px">\lim _{x\rightarrow 0} \frac{\sin(4x)}{5x} </math>

<span class="exam">(c) Evaluate &nbsp;<math style="vertical-align: -14px">\lim _{x\rightarrow -3^+} \frac{x}{x^2-9} </math>
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[[007A Sample Midterm 1, Problem 1 Solution|'''<u>Solution</u>''']]


[[007A Sample Midterm 1, Problem 1 Detailed Solution|'''<u>Detailed Solution</u>''']]


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