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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.)

image text in transcribed
Let f(x)=x6x236 (a) Calculate f(x) for each value of x in the following table. (b) Make a conjecture about the value of limx6x6x236. (a) Calculate f(x) for each value of x in the following table. ( lype integers or decimals rounded to four decimal places as needed.)

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