Yes, it is true. An enterprise that does not grow will eventually die. This can be supported by following reasons:
Market is dynamic: Market is never stable. Continuously some changes are taking place. Every enterprise has to keep a close wratch on such changes and has to make favourable changes in product process etc. This is to maintain the number of consumers of the product e.g. with the growing income the consumers requirement of electronic items is increasing. Electronic companies are thus growing in terms of turnover and diversification.
Innovation is essential: When growth takes place it is normally associated with innovation. New methods, techniques, processes, etc. help in reducing the cost, increasing efficiency and are also able to attract more customers e.g. fast foods manufacturers always keep some attractive articles to attract children.