Can a (micro) black hole be used to make a microscope? We have seen that black-holes can be used as a telescope. Is there a chance that light bending from a micro black-hole can be used to create a microscope?
 A: Gravitational lenses would be a very poor choice for use in an optical instrument. For optical instruments we require that the lenses focus parallel rays of light to a point - the focal point:

This happens because the farther a light ray is from the optical axis the more strongly it is bent. However for a gravitational lens the farther the light is from the lensing object the more weakly it is bent. The light rays focussed by a micro black hole would look more like this:

Instead of a focal point a gravitational lens has a focal line, and this means it doesn't produce images in the way a conventional lens does. Consequently it would be of little use in a microsocope.
A: the difference between a microscope and a telescope:

microscopes are used to magnify small objects that are at a short
distance from the viewer whereas telescopes are used to magnify large
objects that are at a large distance from the viewer.

In gravitational lensing a black hole is used as a lens to see objects father away, so yes, in theory a small lens (a small black hole) can be used to view things that are close.
