下列命题正确的是（）.<br/> A、若函数<img src="https://static.zxtiku.com/wangke/imgs/topic/fdca57d49f3f2297b7aee29196bcb2fc.jpg"/>在<img src="https://static.zxtiku.com/wangke/imgs/topic/0e55d72fa142d87b6ebbc5567c1ab899.jpg"/>处连续，且<img src="https://static.zxtiku.com/wangke/imgs/topic/d42fe29b0949c642cda0bc0820bf1f32.jpg"/>，则存在a的邻域，在此邻域内有<img src="https://static.zxtiku.com/wangke/imgs/topic/aaea2f00937881061abf03ce84f8a94f.jpg"/><br/> B、若函数<img src="https://static.zxtiku.com/wangke/imgs/topic/fdca57d49f3f2297b7aee29196bcb2fc.jpg"/>在a的一个邻域内有定义，则<img src="https://static.zxtiku.com/wangke/imgs/topic/fdca57d49f3f2297b7aee29196bcb2fc.jpg"/>在a处可导的充要条件是<img src="https://static.zxtiku.com/wangke/imgs/topic/a023557b70eee8f87b90d97f0f530230.jpg"/>存在<br/> C、若<img src="https://static.zxtiku.com/wangke/imgs/topic/fdca57d49f3f2297b7aee29196bcb2fc.jpg"/>在a处可导，则<img src="https://static.zxtiku.com/wangke/imgs/topic/d33e218cfc905e77dd23d757242d11fb.jpg"/>在a处可导<br/> D、两无穷小的商也是无穷小<br/> E、若函数<img src="https://static.zxtiku.com/wangke/imgs/topic/fdca57d49f3f2297b7aee29196bcb2fc.jpg"/>在a的某邻域内有<img src="https://static.zxtiku.com/wangke/imgs/topic/0060dd21776a5b7dcbbfc5b4db21569b.jpg"/>，则必有<img src="https://static.zxtiku.com/wangke/imgs/topic/3fde63ba30c99aabf5061653b5d8ae21.jpg"/><br/> F、若函数<img src="https://static.zxtiku.com/wangke/imgs/topic/efc85cb86db8d7c59f2dae96aa3e5851.jpg"/>在区间Ｉ上可导，且满足<img src="https://static.zxtiku.com/wangke/imgs/topic/48ba72ef3f04365ce1c0974911b287df.jpg"/>，则在区间Ｉ上有<img src="https://static.zxtiku.com/wangke/imgs/topic/bb22b6b90c1e1691c31909fbebc3296b.jpg"/><br/> G、若<img src="https://static.pphuashu.com/wangke/imgs/topic/3f3fa4f491e4c2fe8eb51e0510775a2e.jpg.png"/>, 则存在a的一个小邻域，在此邻域内<img src="https://static.zxtiku.com/wangke/imgs/topic/fdca57d49f3f2297b7aee29196bcb2fc.jpg"/>单调增<br/> H、若<img src="https://static.zxtiku.com/wangke/imgs/topic/fdca57d49f3f2297b7aee29196bcb2fc.jpg"/>在a处可导，则<img src="https://static.zxtiku.com/wangke/imgs/topic/535f27457dfc0e1a10fec6306fa40c79.jpg"/>在a处可导<br/> I、若<img src="https://static.zxtiku.com/wangke/imgs/topic/fdca57d49f3f2297b7aee29196bcb2fc.jpg"/>在a处可导，则<img src="https://static.zxtiku.com/wangke/imgs/topic/fee05464a5c9cf78aa1a25e4526d9912.jpg"/>在a处可导