minimal entity page
jim f@
[jim f@|jim f@] is defined as the limit of f(x) as x approaches a, where the limit exists or is ±∞.
Definition
jim f@ is defined as the limit of f(x) as x approaches a, where the limit exists or is ±∞. If the values of f are negative and approach -∞, then jim f@ = -∞.
Effects
jim f@ [jim f@|jim f@) equals the limit of f@) minus f@) plus f@) minus the limit of Se 'a-atf «@). Multiply and divide f(x) - f(a) by x-a to derive f'(a) = f@) - 0 + f(a).
Examples
jim f@ Suppose we want g(x) to evaluate [jim f@|jim f@) and arrive at the indeterminate form oo. The indeterminate forms 0° and 1% can be handled similarly.