GoDaddy [...] I assume leur servers are geographically distributed
Don't assume, verify avec GoDaddy ou verify it yourself. A quick traceroute to nsX.secureserver.com (a common DNS server name for GoDaddy) gives me a response depuis a datacenter here in Scandinavia où I live. So yes, it seems that GoDaddy has its nameservers spread out over at least le US et Europe. But vérifiez le nameservers assigned to votre domain.
main reasons I should opt to use Amazon Route 53
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Amazon has clearly documented how leur server setup is. They use Anycast, et have DNS servers in 15+ locations worldwide. Their service seems well engineered for high uptime.
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Having votre DNS resolve depuis 15+ locations worldwide makes votre website a little bit faster for votre end users. It aussi allows you to use a lower TTL, qui means in case of a website failure, you can move votre service over to a nouveau IP faster.
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In le future, Amazon plans to integrate Route53 avec leur autre cloud offerings. If you uses certains of these, such as EC2 et Elastic Load Balancer, alors you will benefit depuis this integration. What they'll build n'est pas known yet, mais one-step setup of Elastic Load Balancing et health check integration avec CloudWatch seem like reasonable guesses.