(adsbygoogle = window.adsbygoogle || []).push({}); limit from some russian book: lmt--0 [(1+mx)^n-(1+nx)^m]/x^2

Hey guys, i'm newbie in calculus, while doing a quick reading of my problem's book i find this interesting limit:

1. The problem statement, all variables and given/known data

solve the following limit when x tend to zero,

m and n belong to the set of naturals

[tex]\frac{(1+mx)^n-(1+nx)^m}{ x^2}[/tex]

2. Relevant equations

3. The attempt at a solution

the anwser is (mn)(m-n)

i dont know how to solve the problem...

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Limit from some russian book: lmt-0 [(1+mx)^n-(1+nx)^m]/x^2

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