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Chapter: 11th Mathematics : UNIT 9 : Differential Calculus Limits and Continuity

Limits of rational functions

If R (x) = p(x)/ q (x) and the degree of the polynomial p(x) is greater than the degree of q(x), then

Limits of rational functions


If R (x) = p(x)/ q (x) and the degree of the polynomial p(x) is greater than the degree of q(x), then


If the degree of q(x) is greater than the degree of p(x), then


Finally, if the degree of p(x) is equal to the degree of q(x), then


Remark

We reemphasize that statements such as f (x ) → ∞ as x → a , f (x ) → −∞ as x → a, and f (x ) → ∞ as x → ∞ , f (x ) → −∞ as x → ∞ mean that the limits do not exist. The symbol ∞ does not represent a number and should not be treated as a number.


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11th Mathematics : UNIT 9 : Differential Calculus Limits and Continuity


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