2.4.34 Graphing functions using derivatives
condition: Examine for continuity and construct a graph of the function. \[ y=\lim _{t \rightarrow+\infty}(1+x) \frac{e^{t x}-e^{-t x}}{e^{t x}+e^{-t x}} \]
The study of functions using differential calculus according to a given scheme - finding intervals of monotonicity, convexity, extremum points, vertical, horizontal and oblique asymptotes. Plotting graphs based on the research results.