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MATH SOLVE
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Find a reasonable estimate of the limit
4 months ago
Q:
Find a reasonable estimate of the limit
Accepted Solution
A:
Answer:The answer is (c) β the value is 6.6667Step-by-step explanation:β΅ [tex]\lim_{x\to \2} _2\frac{x^{5}-32}{x^{3}-8}[/tex]β΅ 32 = 2^5 , 8 = 2Β³β΄ [tex]\lim_{x \to \2}_2 \frac{x^{5}-2^{5}}{x^{3}-2^{3} }[/tex]* by using the rule:[tex]\lim_{x\to\a}_a \frac{x^{n}-a^{n}}{x^{m}-a^{m}}=\frac{n}{m}(a)^{n-m}[/tex]β΄ [tex]\frac{5}{3}(2)^{5-3}=\frac{5}{3}(2)^{2}=\frac{20}{3}[/tex]β΄ 20/3 = 6.6667 β answer (c)