Limit Calculator

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Limit is one of the very important concepts in mathematics. Limit is the value to which the given function or

sequence approaches as the variable or index approaches a given value. The online tool used to calculate

the limit of a given function or sequence is called as limit calculator.

Example 1: Find the limit of (5 x-10)/(3 x - 1) as x approaches 3.

The given function f(x) = (5 x-10)/(3 x - 1).

Limit of f(x) as x approaches 3.

lim f(x) = lim (5 x-10)/(3 x - 1) as x <- 3.

lim f(x) = (5 * 3 - 10)/(3 * 3 - 1) as x <- 3.

lim f(x) = (15-10)/(9-1) as x <- 3.

Hence lim f(x) = (5/8) as x <- 3.

Example 2: Find the limit of 4x/(6 x - 3) as x approaches 4.

The given function f(x) = 4x/(6 x - 3).

Limit of f(x) as x approaches 4.

lim f(x) = lim 4 x/(6 x - 3) as x <- 4.

limf(x) = (4*4)/(6 * 4 - 3) as x <- 4.

lim f(x) = (16)/(24 -3) as x <- 3.

Hence lim f(x) = (16/21) as x <- 3.