Small-business owners seeking working capital loans are getting a warmer reception from large banks these days.

In what appears to be a sign of growing confidence in the economy, banks with $10 billion of assets or more approved 14.2% of small-business loan requests in September, up from 10.9% in August and 9.2% in September 2011, according to a report released Tuesday by the New York firm Biz2Credit.

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