Sorry @Anonymous , but I am still not clear on what you want to achieve.
"I want it for makeing a live and update able texture for my project."
If you want a texture map/image sequence, the only way I know how to do this in Max is to render the Camera/viewport image. This will always take a finite amount of time, so there would not be real-time updating of the texture map image of the camera view as things are animating in the scene.
On the other hand, the max viewports and camera views do automatically update what is going on in the scene in real time, (unless the scene gets very heavy in terms of the number of objects, total polycount, number and size of textures, etc. in which case the framerate for the viewport suffers.) But even with a light scene, the visual feedback from the viewport does not give you an image map.
So you seem to be asking for the equivalent of a custom User Viewport for the realtime updating of the scene but with the added feature of an automatic and instantaneous generation of an image map of the viewport. To the best of my knowledge the combination of both requirements is not possible in Max or any 3D Software that I am familiar with.
I asked what your overall objective is, because with 3D programs and graphics in general there are always multiple ways to achieve an end. But you still haven't explained exactly what you are trying to achieve so
in the absence of understanding why you want this, I can't think of anything else to say that would be helpful.