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LIMITS AND
DERIVATIVES - Coggle Diagram
LIMITS AND
DERIVATIVES
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LIMIT
We say lim(x=a) f(x) is the expected value of f at x=a given that the value of f near x to the left of a . this value is called the left hand limit of f ata.
We say lim(x=a) f(x) is the expected value of f at x=a given that the value of f near x to the right of a . This value is called the right hand limit of f at a.
If the right and left hand limits coincide , we call that common value as the limit of f(x) at x=a and denote it by the lim(x=a) f(x).
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ALGEBRA OF LIMITS
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Lim(x=a) [f(x)/g(x)] = lim(x=a) f(x)/lim(x=a) g(x) , ∴ lim(x=a) g(x) ≠ 0
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