Flashcards

BoFaI Defs

Chelsea Hilditch RCA Degree English 6 cards

Cards in this deck (6)

1f(x) tends to infinity as x tends to infinitySuppose f is a real function. We say that f(x) tends to infinity as x tends to infinity if, given any A in R+, there exists a k in R (which may depend on A) such that f(x)>A whenever x>k
2f(x) tends to minus infinity as x tends to infinitySuppose f is a real function. We say that f(x) tends to minus infinity as x tends to infinity if , given any A in R+, there exists a k in R (which may depend on A) such that f(x)<-A whenever x>k
3f(x) tends to l as x tends to infinityLet f be a real function and l be a real number, we say that f(x) tends to l as x tends to infinity if, given any E>0, there exists a real number k such that |f(x)-l|k
4f(x) tends to infinity as x tends to minus infinityLet f be a real function. Given any A>0, there exists a real number k (that may depends on A) suck that f(x)>A whenever x
5f(x) tends to minus infinity as x tends to minus infinityLet f be a real function. Given any A>0, there exists a real number k such that f(x)<-A whenever x
6f(x) tends to l as x tends to minus infinityLet f be a real function and let l be a real number. Given any E>0, there exists a real number k such that |f(x/0-l|