The type of immunity that is general and nonspecific and recognizes microbial invaders quickly is called:

Innate or natural immunity

Explanation:

Innate immunity is a defense system that we are born with and that protects us against antigens. It is the sum of all defense mechanisms that occur naturally to protect an individual from infectious diseases. They are physiological mechanisms that  are present throughout the entire animal kingdom  and it is an inherent quality of each species. They are not specific to a given pathogen, nor do they generate memory

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