Is the Nikon 55-200mm f/4-5.6G AF-S DX VR Nikkor Lens sharp? This page visually answers that question. Shown above are 100% crops from a lab-captured 85mm f/4.5 test image. Observe the contrast and resolution of these results.
Is the Nikon 55-200mm f/4-5.6G AF-S DX VR Nikkor Lens set to 85mm f/4.5 sharper than the Nikon 55-300mm f/4.5-5.6G AF-S DX VR Nikkor Lens set to 135mm f/8.0? The image quality comparison above also answers that question. Switch between the results to see the sharpness differences between these lenses.