limits - Finding the value of variables from a given piecewise continuous function.

Given that $f(x)= \dfrac{\sin (a+1)x+ \sin x} {x}$ if $x<0.$

$$f(x)= c \text{ if } x=0.$$

$$f(x)= \frac{{\sqrt{x+bx^2}}-\sqrt {x}}{b \sqrt{x^3}} \text{ if } x>0.$$

Also given that the function is continuous at $x=0.$ Then find $a,b,c.$
I tried simplifying the left hand limit of the function and equated it to $f(0)$ and ended up with $a-c=-2$
Now i am having problem simplifying the right hand limit of the function.Please help. Also after finding the left hand limit and equation it to $f(0)$ how should i proceed to find the values required?