what is limit explain with example
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Step-by-step explanation:
In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value. ... Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.
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type of operation used to see the behaviour of a function near to specified value as that specified value gives undefined answer if put in the that function.
eg. 1). value of (x2-1)/(x-1) at x=1 is undefined so if we put ( ( lim(x tends to 1) ) of function (x2-1)/(x-1). ) then by applying simple expansion we get x+1 as our function as numerator and denominator terms of x-1 gets cancelled. Thus at x=1 of function x+1 we get our answer as (1+1) = 2.
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