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Given a function f:R→R and real numbers a and L, we say that the limit of...

  • Given a function f:R→R and real numbers a and L, we say that the limit of f as x approaches a is L if for all ε>0, there exists δ>0 such that for all x, if 0<|x-a|<δ, then |f(x)-L|<ε. Prove that if f(x)=3x+4, then the limit of f as x approaches -1 is 1.
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