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# -How do I find the limit f(x) if it exists?

-How do I find the limit f(x) if it exists?

-How to indicate limit if it exist

• actually if there is limit tend to infinity and function is rational as given in your question .... then if degree of numerator is less than denominator then limit exist
• gupta.vrinda
• May 16, 2018 at 1:46pm
• the reason is you divide the numerator and denominator by highest degree exponent that is occuring (in the question it is x^4) then on taking limit numerator will be 0 whereas denominator will be 1 so limit will be 0
• gupta.vrinda
• May 16, 2018 at 1:48pm
• in the same way you can solve when numerator and denominator have same degree.... in that case limit will be nonzero-----but steps are same
• gupta.vrinda
• May 16, 2018 at 1:48pm
• thank you
• dsery001
• May 16, 2018 at 4:50pm
• welcome
• gupta.vrinda
• May 16, 2018 at 8:07pm

The value of the limit is ﻿ lim ​ x → ∞ ​ ​... View the full answer

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