1.7976931348623147e308 is serialized to 1.797693135e308, which is out of double's range

StaticJsonDocument<300> doc;
doc.set(1.7976931348623147e+308);
serializeJson(doc, std::cout); // 1.797693135e308

Online demo: https://wandbox.org/permlink/sJfBXevl6vd3KDL5

The rounding is correct, but the value is out of double's range. This can be an issue because when we deserialize the document, we get inf.

One way to mitigate this issue would be to reduce the value before stringification, like so:

// prevent rounding out of double's range
if (value > 1.797693134e308) 
  value = 1.797693134e308

Another option would be to add some slack in the deserialization code so that it returns 1.7976931348623147e+308 instead of inf.

I'm not sure if this issue classifies itself as a bug since the workaround can be considered a bug as well.