A. When \( c = 0 \) , both sides of the equation \( \frac { a } { c } = \frac { b } { c } \) are undefined, so the equation is true even if \( a \neq b \) .
B. When \( c = 0 \) , both sides of the equation \( \frac { a } { c } = \frac { b } { c } \) are equal to \( 0 \) , so the equation is true even if \( a \neq b \) .
C. When \( c = 0 \) , both sides of the equation \( \frac { a } { c } = \frac { b } { c } \) are equal to \( 0 , \) so the equation is false even if \( a = b \) .
A
If \( y = f ( g ( h ( x ) ) ) , \) then the derivative \( y ^ { \prime } \) is given by which for
a) \( f ^ { \prime } ( g ( h ( x ) ) \)
b) \( f ^ { \prime } ( g ( h ( x ) ) h ^ { \prime } ( x ) \)
c) None of these
d) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) \)
e) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) h ^ { \prime } ( x )\)
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
