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

Revision as of 09:56, 5 February 2017

Find the following limits:

a) Find

\lim _{x\rightarrow 2}g(x),

provided that

\lim _{x\rightarrow 2}{\bigg [}{\frac {4-g(x)}{x}}{\bigg ]}=5

b) Find

\lim _{x\rightarrow 0}{\frac {\sin(4x)}{5x}}

c) Evaluate

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

Solution:

(a)

Step 1:

Step 2:

(b)

(c)

@@ Line 1: / Line 1: @@
-<span class="exam">
+<span class="exam">Find the following limits:
-::<span class="exam">a)
+::<span class="exam">a) Find <math>\lim _{x\rightarrow 2} g(x),</math> provided that <math>\lim _{x\rightarrow 2} \bigg[\frac{4-g(x)}{x}\bigg]=5</math>
-::<span class="exam">b)
+::<span class="exam">b) Find <math>\lim _{x\rightarrow 0} \frac{\sin(4x)}{5x} </math>
+::<span class="exam">c) Evaluate <math>\lim _{x\rightarrow -3^+} \frac{x}{x^2-9} </math>
@@ Line 60: / Line 61: @@
 |
 |}
+'''(c)'''
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 1: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|-
+|
+|}
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 2: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|-
+|
+|}
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 67: / Line 94: @@
 |-
 |'''(b)'''
+|-
+|'''(c)'''
 |}
 [[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]