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what is the lim as x approaches 0 of sinx/x ✔Correct Answer--1
what is the lim as x approaches 0 of (1-cosx)/x ✔Correct Answer--0
when does the lim as x approaches c of f(x) exist ✔Correct Answer--lim as x approaches c from
right= lim as x approaches c from left
a function is continuous at x=c if ✔Correct Answer--lim as x approaches c= f(c)
3 types of discontinuity ✔Correct Answer--jump, removable, infinite
all ____ are continuous ✔Correct Answer--polynomials
how can you prove a function is continuous ✔Correct Answer--by proving there are no
discontinuities
when is a function f continues from the right at a ✔Correct Answer--if lim as x approaches a from
right= f(a)
when is a function f continues from the left at a ✔Correct Answer--if lim as x approaches a from
left= f(a)
if a function f(x) takes on the closed interval [a,b], it takes on every value between what two values
✔Correct Answer--f(a) and f(b)
x=a is a VA of function f if ✔Correct Answer--lim as x approaches a from either side= +/- infin
y=a is a HA of function f if ✔Correct Answer--lim as x approaches +/- infin from either side= a