Answer: If the spots are just white areas on the foliage, they might be spray residue of some kind. If this is the case, they can probably be rinsed off using tepid water.
Jasmines are usually trouble free, however your plant might have a problem with mealy bugs. These look like fluffy bits of white cotton wool and tend to be located where the leaf joins the stem. They can be removed using a cotton swab dipped in rubbing alcohol, or you can treat the plant with a commercially formulated insecticidal soap. Read and follow the label directions.
I hope this helps!
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