Difference between revisions of "009A Sample Final 1, Problem 1"

Revision as of 20:21, 1 February 2016

In each part, compute the limit. If the limit is infinite, be sure to specify positive or negative infinity.

a)

\lim _{x\rightarrow -3}{\frac {x^{3}-9x}{6+2x}}

b)

\lim _{x\rightarrow 0^{+}}{\frac {\sin(2x)}{x^{2}}}

c)

\lim _{x\rightarrow -\infty }{\frac {3x}{\sqrt {4x^{2}+x+5}}}

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

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+<span class="exam">In each part, compute the limit. If the limit is infinite, be sure to specify positive or negative infinity.
+::<span class="exam">a) <math>\lim_{x\rightarrow -3} \frac{x^3-9x}{6+2x}</math>
+::<span class="exam">b) <math>\lim_{x\rightarrow 0^+} \frac{\sin (2x)}{x^2}</math>
+::<span class="exam">c) <math>\lim_{x\rightarrow -\infty} \frac{3x}{\sqrt{4x^2+x+5}}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Foundations: &nbsp;