Hey there, Lester7400! We appreciate your feedback on the Nest Doorbell (battery). We hear your concerns with its battery life, and with the battery charging behavior during extreme cold weather.
Your doorbell could be detecting a lot of activities, as the battery life depends on factors including activity, temperature, and doorbell settings that you select. You can extend its battery life by adjusting the settings like the video quality, length of video clips, time between recorded events, and using activity zones to monitor specific areas. Check this link for more tips on how to save battery: https://support.google.com/googlenest/answer/10901611
At temperatures between -4°F (-20°C) and 32°F (0°C), the battery can still power your device, but it won’t charge. It may drain more quickly than usual. You need to bring it inside to a warm place, preferably at room temperature so the battery can start to charge slowly once its temperature rises past 32°F (0°C). It will charge faster when it warms up.
For other support concerns that require immediate attention, simply let us know and we’d be happy to help you, here: https://support.google.com/googlenest/gethelp