Discouragement, low self-esteem and easily giving up

My 5 year old is bright and have a good grasp. But she has low self confidence, and when trying to teach her something like a memory verse, after a few attempts if she can't remember, she takes it personally as an inability and gives up trying. It happens in games she is playing as well. With a regular few repetitions she has the ability learn but she doesn't seem to enjoy the process. As her mother how can I make learning an enjoyable process? How can I bring up her self-confidence?