The main problem with jpgs is you're tied to the processing applied when you took the shot. In particular, the sharpening, noise reduction,white balance and colour modes. You can quite often extract quite a lot more detail from a a RAW file in post processing, that has clearly already been lost during the in-camera jpg conversion.
I shoot RAW+jpg fine, and here's a cut and paste from a post I made a couple of days ago, which hopefully shows an example of a "problem shot", and how RAW can help. Notice the improved petal detail, and the better colour range
Grabbed this in 2 mins flat at lunchtime. The pic is hardly original, but it's a bit of a special - a Lobivia-Trichocereus hybrid, with flowers that only last a day...and this was its first flower
The interesting part, for any Nikon flower shooters is that the recommended 'nature mode' is colour mode 3, but the colour gamut appears to be SERIOUSLY limited when it comes to red/orange/purple, or at least way oversaturated.
Here's the original jpg, shot in mode 3. The final shot was swapped to mode 1 in Capture NX, and suddenly all the orange and purple shades pop out. Incidentally, this is NOT a blown red channel.