Unusual series

Algebra Level 2

Define Xn=Xn1+Xn2X_n=X_{n-1}+X_{n-2}

If X1=55X_1=5^5 and X2=56X_2=5^6

Find limnXn+1Xn\displaystyle \lim_{n\rightarrow \infty} \dfrac{X_{n+1}}{X_{n}}

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