Please capitalize where necessary: only one thing they never stated: the moment of that glorious consummation.
A: Only one thing they never stated: the moment of that glorious consummation.

Q: as the energy of the quantum harmonic oscillator increases fluctuations in probability density become more dense and hence no matter how short the interval over which they are averaged there will be some energy level at which the average is equal to the classical time-spent probability density function.

A: As the energy of the quantum harmonic oscillator increases fluctuations in probability density become more dense and hence no matter how short the interval over which they are averaged there will be some energy level at which the average is equal to the classical time-spent probability density function.

Q: the real safe and legal dianabolconsists of natural ingredients.
A: The real safe and legal Dianabolconsists of natural ingredients.

Problem: room facilities: air conditioning, alarm clock, balcony, bath or shower, bathroom, cable channels, carpeted, desk, flat-screen tv, free toiletries, hairdryer, iron, ironing facilities, linen, pay-per-view channels, radio, refrigerator, safety deposit box, satellite channels, telephone, toilet, toilet paper, towels, wake-up service
Can you repeat this sentence, but capitalize it?
Answer: Room facilities: Air conditioning, Alarm clock, Balcony, Bath or Shower, Bathroom, Cable Channels, Carpeted, Desk, Flat-screen TV, Free toiletries, Hairdryer, Iron, Ironing Facilities, Linen, Pay-per-view Channels, Radio, Refrigerator, Safety Deposit Box, Satellite Channels, Telephone, Toilet, Toilet paper, Towels, Wake-up service

Text: data provided by weather station worcester, worcester, 307m (5.3 km)

Correct capitalization: Data provided by weather station Worcester, Worcester, 307m (5.3 km)

Text: cup diameter 12 cm.

Correct capitalization:
Cup diameter 12 cm.