Sunday, August 2, 2015

lim_(x->-oo)tanhx Find the limit

A limit is the value that the function approach as x approaches "a".
In the given problem, the x-gt- oo indicates that independent variable x approaches large negative numbers for  given function: f(x)=tanh(x) .
 The function f(x)= tanh(x) is the hyperbolic tangent function. Its domain is all real number that can be expressed with the interval notation (-oo,oo) . It is a symmetric odd function. It also has an inflection point that can be found at x=0. There are no local extrema that can found in the continuous function of hyperbolic tangent.
 The "attached image" is the graph of f(x)=tanh(x) .
By graphical inspection, as graph continues to left of y-axis or x approaches -oo , it approaches y = -1 .
Therefore, the limit will be:
lim_(x-gt-oo) [tanh(x)] = -1 .

No comments:

Post a Comment

Summarize the major research findings of "Toward an experimental ecology of human development."

Based on findings of prior research, the author, Bronfenbrenner proposes that methods for natural observation research have been applied in ...