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## Homework Statement

Prove that the following function is continuous and bounded in R+

## Homework Equations

[tex] f(x) = 1 + \int_0^x e^{-t^2} f(xt) dt \qquad \forall x \geq 0 [/tex]

## The Attempt at a Solution

I thought of using Taylor Formula, but the integral is t instead of x, so now i have no idea what to do. Help please?