Limit of a sum with parameters : Maple -

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i pretty novice maple, working compute limit of sum maple 2 parameters.

i have

sum(1/sqrt(k*n-sqrt(2)*n^2), k = sqrt(2)*n+1 .. (sqrt(2)+1)*n);

so do,

limit(1/sqrt(k*n-sqrt(2)*n^2), k = sqrt(2)*n+1 .. (sqrt(2)+1)*n, n = infinity);

and maple returned:

error, invalid input: limit expects 2nd argument, p, of type or(name = algebraic, set(name = algebraic)), received k = 2^(1/2)*n+1 .. (2^(1/2)+1)*n

how can comput limit ?

thank in advance time.

you forgot include sum in limit command.

limit(sum(1/sqrt(k*n-sqrt(2)*n^2), k= sqrt(2)*n+1 .. (sqrt(2)+1)*n), n= infinity);

maple responds:

                                  2

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