Lending limits below 50k?

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BP, any info on conventional lending limits?  Spoke with a few banks and they were at min $50K, some properties I look at are $60-100K but at the lowest end with 20% down I fall below $50K and banks say to low to finance.  On some webinars/podcasts it talks about financing lower but banks are banks

Anyway anyone know any lenders,other than hard or private money that finance lower than 50k

Just gauging