Question

Let f: R → R be such that f(1) = 3 and f '(1) = 6, Then, $\frac{1}{3} > y > 1$ is equal to

• A. 1
• B. e^1/2
• C. e²
• D. e³

Answer 1

Answer: (C)

e²

Answer 2

$\lim _ { x \rightarrow 0 } \left\{ \frac { f ( 1 + x ) } { f ( 1 ) } \right\} ^ { 1 / x }$

= $\lim _ { x \rightarrow 0 } \left\{ 1 + \frac { \mathrm { f } ( 1 + \mathrm { x } ) - \mathrm { f } ( 1 ) } { \mathrm { f } ( 1 ) } \right\} ^ { 1 / \mathrm { x } }$

=

=

=

= e^6/3 = e²