Looking back in space is looking back in time. The furthest we’ve seen is 13.8 billion years, roughly the age of the universe. The galaxies that far away(and that far back in time) are redshifted. That means that they are moving away from us. Like sound that travel away from us are experienced at a lower frequency than sound right next to us (like when a car passes you with high speed), light behaves the same way. Low frequency lightwaves are seen as reddish. A guy named Hubble also discovered that galaxies farther away from us move away from us at a higher speed than closer galaxies. Suggesting that the universe is expanding faster than we can see.
With this in mind, i would say the amount of stars are incalculable, not infinite.
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