Silencer Posted September 18, 2005 Share Posted September 18, 2005 Let [math]f(x) = (1 + \frac{1}{x})^{x}[/math] a. Find the domain of f. b. Draw the graph of f. c. Explain why x=-1 and x=0 are points of discontinuity of f. d. Are either of the discontinuities in part c removable? Explain. e. Use graphs and tables to estimate [math]\lim_{x\to\infty} f(x)[/math] I don't really know how to do a. There are a lot of values between -1 and 0 that are undefined. B and C are easy enough. D I have trouble because I don't know how to find the limit with the exponent. Would substitution be valid? And e I can handle. Thank you! Link to comment Share on other sites More sharing options...

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