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limits states the limit of a function
f(x) = c
where c is a Önite constant, means the following
given any positive number " > 0, there exists a positive number > 0 (whose value may depend on ") such that if jx0 xj < , then
jf(x) cj < "
The slope (or gradient or rate of change) of a function f betweentwo points x0 and x1 (where x0, x1 2 X) is defined as
slope = f(x1) f(x0)x1 x
what is the limit on the picture