Change in frequency with a small change in tension (guitar string)

[kent davidge]

Homework Statement

Homework Equations

The Attempt at a Solution

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[PietKuip]

$\sqrt{1+x} \approx 1 + x/2$ when $x \ll 1$

 

[kent davidge]

ohhh thanks... I see that my answer was correct by checking my last formula with random numbers, but I'm still unable to solve it to get the expression as the problem asks. (sorry my english)

 

[PietKuip]

It is the first terms of the series expansion of $\sqrt{1+x}$ close to 1.

 

[gneill]

Mentor's note: Please note that I changed the thread title to make it more descriptive of the problem. The original title was entirely too vague.