What evidence do we have that there is no structure in the universe on very large scale?

Answer 1

I think there Is structure, strings or filaments and voids between them.

It is true that the universe appears homogeneous in all directions beyond the local (super) group, but that isn’t the same.

Generally, it looks like this:

Which has random features, but structure too.

Here’s a larger scale version which is clearer:

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Answer 2

Luke Allen

One piece of evidence for the lack of structure on very large scales in the universe is the isotropy and homogeneity of the cosmic microwave background radiation. Another piece of evidence is the large-scale distribution of galaxies, which appears to be fairly uniform when viewed on sufficiently large scales, indicating a lack of significant structures on those scales.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.