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Small planets are common around late-M dwarfs and can be detected throughhighly precise photometry by the transit method. Planets orbiting nearby starsare particularly important as they are often the best-suited for futurefollow-up studies. We present observations of three nearby M-dwarfs referred toas EIC-1, EIC-2, and EIC-3, and use them to search for transits and set limitson the presence of planets. On most nights our observations are sensitive toEarth-sized transiting planets, and photometric precision is similar to orbetter than TESS for faint late-M dwarfs of the same magnitude (I=15 mag). Wepresent our photometry and transit search pipeline, which utilizes simplemedian detrending in combination with transit least squares based transitdetection (Hippke & Heller 2019).For these targets, and transiting planetsbetween one and two Earth radii, we achieve an average transit detectionprobability of 60% between periods of 0.5 and 2 days, 30% between 2 and 5days,and 10% between 5 and 10 days. These sensitivities are conservativecompared to visual searches.

EDEN: Sensitivity Analysis and Transiting Planet Detection Limits for Nearby Late Red Dwarfs