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Complete the table and estimate the limit

Complete The Table And Estimate The Limit class=

Sagot :

Answer:

[tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]

Step-by-step explanation:

If x=-0.1, then f(x)=0.2247361538

If x=-0.01, then f(x)=0.2237187131

If x=-0.001, then f(x)=0.2236179792

If x=0.001, then f(x)=0.2235956185

If x=0.01, then f(x)=0.223495106

If x=0.1, then f(x)=0.2224998063

We can see that as x approaches 0, we see that f(x) gets closer to √5/10

Therefore, [tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]

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