[![enter image description here](https://i.stack.imgur.com/0la3l.png)](https://i.stack.imgur.com/0la3l.png)

I wish to show the two series are convergent but I don't know how to do so exactly. For the first one, I tried to use comparison test because the sum is less than one which converges. For the second one, I tried to use ratio test to show r <1 but I have difficulty simplying the fraction. Is that the right approach?