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The video discusses how to evaluate the limits of hyperbolic functions by drawing their graphs, as it helps to determine the Y values as X approaches either infinity or zero from either side. The video provides examples for various hyperbolic functions, and mentions that using graphing can be an effective method to solve hyperbolic function limit problems. They also evaluated the hyperbolic cotangent and found that it has two horizontal asymptotes and a vertical asymptote; the limits were evaluated for x approaching negative infinity, positive infinity, and zero by analyzing the graph. It was concluded that understanding the graphs of hyperbolic functions can be helpful in evaluating their limits.
In this section, the video discusses how to evaluate the limits of hyperbolic functions by drawing their graphs. By drawing rough graphs, viewers can determine the Y values as X approaches positive or negative infinity or zero from either side. The video provides examples for hyperbolic sine, tangent, and secant, with the graphs showing how the Y values approach positive or negative one, zero, or infinity depending on the function. The video recommends using graphing as an effective method to solve hyperbolic function limit problems.
In this section, the speaker discusses the limits of hyperbolic functions, specifically the hyperbolic cotangent. They draw a graph of the function which has two horizontal asymptotes at y=1 and y=-1 and a vertical asymptote at x=0. They then evaluate the limits of the function as x approaches negative infinity, positive infinity, and zero by analyzing the graph. They find that the limit as x approaches negative infinity is -1, the limit as x approaches positive infinity is 1, but the limit as x approaches zero does not exist due to the left and right-sided limits having different values. The speaker concludes that knowing the graphs of hyperbolic functions can be helpful in evaluating their limits.
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