Provide an Appropriate Response $\lim _ { x \rightarrow } \frac { \ln ( x + 1 ) } { \ln x } = \lim _ { x \rightarrow } \frac { \ln ( x + 9982 ) } { \ln x }$

Essay

Provide an appropriate response.
-Show that $\lim _ { x \rightarrow } \frac { \ln ( x + 1 ) } { \ln x } = \lim _ { x \rightarrow } \frac { \ln ( x + 9982 ) } { \ln x }$ . Explain why this is the case.