For a real number λ, consider the improper integrals

\(I_\lambda=\int_0^1 \frac{d x}{(1-x)^\lambda}\)\(K_\lambda=\int_1^{\infty} \frac{d x}{x^\lambda}\)

Which of the following statements are true? 

1
There exists λ such that Iλ converges, but Kλ does not converge.
2
There exists λ such that Kλ converges, but Iλ does not converge.
3
There exists λ such that Iλ, Kλ both converge.
4
There exists λ such that neither Iλ, nor Kλ converges.

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