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Let f(x)=(x^(2)-36)/(x-6) . (a) Calculate f(x) for each value of x in the following table. (b) Make a conjecture about the value of lim_(x->6)(x^(2)-36)/(x-6) .
Let
f(x)=(x^(2)-36)/(x-6)
. (a) Calculate
f(x)
for each value of
x
in the following table. (b) Make a conjecture about the value of
\\\\lim_(x->6)(x^(2)-36)/(x-6)
.\ (a) Calculate
f(x)
for each value of
x
in the following table.\ \\\\table[[
x
,5.9,5.99,5.999,5.9999],[
f(x)=(x^(2)-36)/(x-6)
,,,,],[
x
,6.1,6.01,6.001,6.0001],[
f(x)=(x^(2)-36)/(x-6)
,,,,],[,,,,]]\ (Type integers or decimals rounded to four decimal places as needed.)
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