# Isn't $$100000$$ such a huge number (Part 4) ?

Algebra Level 5

Let there be a function $$f(x)$$ satisfying the relation:

$f(x)=\dfrac{100000^{x}}{100000^{x}+100\sqrt{10}}.$

Find $1 + \displaystyle\sum_{k=1}^{99998}f(\dfrac{k}{99999}).$

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