Find Each of the Following Limits or Explain Why It $\lim _ { x \rightarrow 1 ^ { + } } \frac { \ln ( 2 x ) } { \ln x }$

Find each of the following limits or explain why it does not exist.(a) $\lim _ { x \rightarrow 1 ^ { + } } \frac { \ln ( 2 x ) } { \ln x }$ (b) $\lim _ { x \rightarrow 0 } \frac { e ^ { - 2 x } - 1 } { x ^ { 2 } - x }$ (c) $\lim _ { x \rightarrow \frac { \pi } { 2 } } ( \sec x - \tan x )$

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