Why Is an Image at Infinity Called Highly Magnified?

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SUMMARY

An image formed at infinity by a convex lens occurs when an object is placed at the focal point. This image is termed "highly magnified" due to the parallel rays produced after passing through the lens. The magnification is considered infinite when the object is exactly at the focal point, contradicting the notion of a finite magnification. If the object is close to the focal point but not precisely there, the magnification remains large but finite.

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When an object is placed at the focal point of a convex lens, the image is formed at infinity, yet it is called a highly magnified image. The fact being that after passing through the convex lens the rays run parallel or rather as a beam.

My question is that if the image is formed at infinity why is it not referred to as an infinitely magnified image. But still if we insist in calling the image as highly magnified, then what should be the magnitude of magnification?
 
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If the object is at the focal point, the magnification is infinite. Not sure why you have been told otherwise.

If the magnification is large, but not infinite, that means the object was near, but not at, the focal point.
 

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