The function \[f(x)=\sin ({{\log }_{e}}\left| x \right|),x\ne 0\], and 1 if \[x=0\]

Has removable discontinuity at \[x=0\]

Has jump discontinuity at \[x=0\]

Has oscillating discontinuity at \[x=0\]

The function \[f(x)=\sin ({{\log }_{e}}\left| x \right|),x\ne 0\], and

1.	The function \[f(x)=\sin ({{\log }_{e}}\left\| x \right\|),x\ne 0\], and 1 if \[x=0\]
A.	Is continuous at \[x=0\]
B.	Has removable discontinuity at \[x=0\]
C.	Has jump discontinuity at \[x=0\]
D.	Has oscillating discontinuity at \[x=0\]
Answer» E.

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The function \[f(x)=\sin ({{\log }_{e}}\left| x \right|),x\ne 0\], and 1 if \[x=0\]

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