what is limit of a function?

Answer 1

Informally, a function f has limit L at a point p when we can make the value of f as close to L as we want, by taking points close enough to p.
lim f(x) = L
x-->p

Answer 2

A Limit is a value to which the function will tend to over a large enough time. This may be periodical or asymptotic.

Generally speaking is a function gets closer and closer to a value but never quite reaches it, then that value is its limit.

Look at the graph for tan and you'll notice several asymptotes.

Answer 3

consider the function defined by the equation
f(x)=3x+1
and assign some values to x near, but not equal,to a specific number,says 2.for each value of x in the neighborhood of 2, we compute the correspoinding value of y.
3x+1=7 as x is to 2
We may also say that" the limit of (3x+1) as x approches 2 is 7".
In symbol,we write this as
lim (3x + 1)=7
xapproaches2
from the discussion above ,we may formulate the ff definition of the limit of function.