A few days ago
p_i_turtle_sanders

More Calculus help please! Limits…?

a) Use the values of 4.1, 4.01, 4.001 to guess at the value of

lim [ x^(3/2)-8]/(x-4)

(x–>4)

***the values I got were 3.0187, 3.00187, and 3.00187 – so I guess that as x approaches 4, limit approaches 3… is this what it’s asking?

b) Using an appropriate factorization, find the limit in a)

**Don’t know how to start on this one…

Thanks in advance!

Top 1 Answers
A few days ago
Jeƒƒ Lebowski

Favorite Answer

(a). Correct

(b)

[x^(3/2) – 8] / [x-4]

= [x+2*Sqrt(x) + 4] / [Sqrt(x) + 2]

So plug in 4 now

[4 + 2*2 + 4] / [2 + 2]

= 12/4 = 3

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