will Nikon Nikkor AF-S 55-200mm f/4-5.6 G Lens fit my Nikon D5200? I have a 18-135 and works amazingly but i also have an old 80's/90's 70-300mm but it doesn't auto focus… It does auto focus on my D80. Will this 55-200 be compatible with my D5200 and can my old nikkor 75-300 work with my d5200?
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