Battery Taking Unusually Long to Charge

Question

I purchased the new Macbook in early December and the battery worked fine.
After about a month the computer started taking an unusually long time to get 100% battery (days). When plugged in, the charger does not light up, but it has a very dim green light and the battery status says (10:00) whenever plugged in.

Answer 1

I have a Late 2008 MacBook also experiencing the exact same symptoms after about a month of use as well. Furthermore, I have noticed these additional symptoms:
• the Apple Profiler (and the power menu bar icon) always report the power source as "Power Adapter" when running from battery; hence it is unable to show time remaining on a battery charge;
• Apple Profiler and power menu bar icon will report percentage remaining during a portion of the time while the MacBook runs on battery, but on occasion will stop updating this number (and the charge remaining mAh);
• battery drains excessively quick, providing no more than 2 hrs of charge with minimal use and all battery saving features utilized (reduced backlight, no keyboard light, etc) leaving me with a charge to use ratio of 5-to-1;
• MacBook does not display the low power warning when the battery level drops low;
• MacBook shuts down abruptly, without warning noted above, rather than sleep or hibernate, both when the charge remaining shows a presumably false percentage of charge left or when properly it displays 0% (admittedly a shutdown would be normal when a battery if fully depleted, but the computer not attempting a sleep, hibernate or warning prior to reaching a dangerously low level is not);
• the MacBook did not exhibit any of these symptoms when I first bought it.
I have attempted multiple resetting of the SMC and the PMU, and done multiple attempts at re-calibrating the battery. Resetting the SMC will correct the charger LED light not coming on, but the behavior will return afterwards. All the other symptoms remain and appear to be unaffected by any combination of resets and re-calibrations.
My MacBook is up-to-date with all the software updates.