transition diagram for the given regular language

Question

L={wxw^r∣ w,x∈(a,b)^*}

Is this language regular language?

Plz give transition diagram or table?

Comments

What (a,b)^* stands for??

Or its (ab)^* 

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yes regular..

Answer 1

$L=\{wxw^R\;\mid \; w,x\in \{a,b\}^*\}$

Language is regular , we can get all string over $\{a,b\}$ from $x$ by putting $w= \epsilon$.

Regular expression is $(a+b)^*$

Comments

@Praveen Sir, in this language , there is no limitation on the length of 'x' .. so it can be (a+b)^* .. but sir, I think this language contain all the strings which starts and end with the same symbol... So according to me, R.E. should be a(a+b)^*a + b(a+b)^*b...Sir , Please clear my doubt 

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@Ankit

That is different language.

$\large L=\left \{ wxw^{r}|w,x\ \epsilon (a,b)^{+} \right \}$.

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@Manoj , Sir got it.. thanks :)

Answer 2

yes its regular u can take any string n make was e and remaining or all string as x