What is tendency in math?

Answer 1

as the word relates to Limits (the first thing you learn in a Calculus class...)

Imagine this Function: f(x)= 1/x (one divided by X)

now, start replacing x with larger and LARGER INTEGERS, starting with 1..

x=1, then 1/1 = 1

x=2, then 1/2 = (one half)

x=3, then 1/3 = (one third)

x=2759, then 1/2759 (a small number!)

x= 1398762358013761, then 1/13987623... (AN EVEN SMALLER NUMBER)

the bigger you make X, the smaller the value 1/x is...

so, one says the Limit of 1/x , as x TENDS to infinity (gets bigger bigger bigger) is 0.

1/x never equals 0 it just keeps getting smaller and smaller as x gets bigger and bigger ( tends to infinity)