The discussion revolves around evaluating the one-sided limit of the function e^(1/(6-x)) as x approaches 6 from the right. Participants are analyzing the behavior of the function near this point and comparing their findings with a provided answer in a textbook.
Participants are actively engaging with the problem, questioning the validity of the textbook answer and clarifying the behavior of the limit. There is a recognition of differing interpretations of the limit's value, with some suggesting that the textbook may be incorrect.
There is an underlying assumption that the limit should yield a specific value, which is being challenged based on the participants' analysis. The discussion highlights the importance of understanding the behavior of functions as they approach critical points.
Hello tsaitea. Welcome to PF !tsaitea said:lim e^(1/(6-x))
x->6+
Was wondering how to solve for this limit analytically. I plotted it and see it going to 0, but that is not the answer in the book.
Actually [itex]\displaystyle \ \ \lim_{x\to6^{+}}\,\frac{1}{6-x}=-\infty\ .[/itex]tsaitea said:oh -infinity, but the answer is e^(17/3)?, maybe the book is wrong then?