The function `f(x)=tanx` is discontinuous on the set
`(a){npi; n in Z}` (b) `{2npin in Z}` `{(2n+1)pi/2: n in Z}` (c) `{(npi)/2: n in Z}` is continuous and `f^(prime)(1^-)=(log)_(10)e ` d. `f(x)` is continuous and `f^(prime)(1^-)=-(log)_(10)e `

Explanation

We have given,

`f(x)=tanx`is discountinuous

Since a,b and c are in AP, then `2b=a+c`

`\begin{vmatrix}
x+1 & x+2& x+a\\
x+2 & x+3& x+b\\
x+3& x+4 & x+c
\end{vmatrix}=0

...