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JEE • Mathematics

Limit of Function

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mixed

Existence of Limit and Indeterminate Forms

The handbook defines limit existence using left-hand and right-hand limits, then lists common indeterminate forms.

lim⁡h→0+f(a−h)=lim⁡h→0+f(a+h)=M\lim_{h\to0^+}f(a-h)=\lim_{h\to0^+}f(a+h)=M
00, ∞∞, 0×∞, ∞−∞, ∞0, 00, 1∞\frac{0}{0},\ \frac{\infty}{\infty},\ 0\times\infty,\ \infty-\infty,\ \infty^0,\ 0^0,\ 1^\infty

Variables & Notation

ff

function

Notes

  • The common value must be some finite value MM.