5.1.1		Limits (including l'Hopital's rule)

Delta as a Function of Epsilon,  A Suggestion for the Calculus Teacher,  John W. LeDuc,  4:3,  1973,  85-86,  C
A Note on Epsilons and Deltas, Peter A. Lindstrom, 5:3, 1974, 12-14
Another Note on Epsilons and Deltas, Larry F. Bennett, 7:3, 1976, 18
Comparing a^b and b^a Using Elementary Calculus, John T. Varner III, 7:4, 1976, 46, C, 5.1.2
An Interesting Approach to Delta, Epsilon Proofs, Allen R. Angel, 8:5, 1977, 278-280
Note on l'Hopital's Rule for the Indeterminate Form infinity over infinity, James E. Carpenter, 9:2, 1978, 73-74
A Neglected Approach to the Logarithm, Bruce S. Babcock and John W. Dawson, Jr., 9:3, 1978, 136-140, 5.3.2
Stirling's Formula Improved, Jerry B. Keiper, 10:1, 1979, 38-39, C
L'Hopital's Rule and the Continuity of the Derivative, J. P. King, 10:3, 1979, 197-198, C
Calculator-Demonstrated Math Instruction, George McCarty, 11:1, 1980, 42-48, 5.2.2, 5.4.2, 9.6
Calculators to Motivate Infinite Composition of Functions, E. D. McCune and R. G. Dean and W.D.Clark, 11:3, 1980, 189-195
Delta, Epsilon, and Polynomials, Andre L. Yandl, 11:4, 1980, 263-266
Fixed Point Iteration—An Interesting Way to Begin a Calculus Course, Thomas Butts, 12:1, 1981, 2-7, 1.2, 9.6
Probability Solution to a Limit Problem, Homer W. Austin, 13:4, 1982, 272, C, 7.2
The Epsilon-Delta Connection, Larry King, 14:1, 1983, 42-47
Some Subtleties in l'Hopital's Rule, Robert J. Bumcrot, 15:1, 1984, 51-52, C
Alternate Approach to Two Familiar Results, Norman Schaumberger, 15:5, 1984, 422-423, C, 5.1.2
Bernoulli's Inequality and the Number e, Joseph Wiener, 16:5, 1985, 399-400, C
Using Riemann Sums in Evaluating a Familiar Limit, Frank Burk, 17:2, 1986, 170-171, C, 5.2.1, 5.3.2
Interactive Graphics for Multivariable Calculus, Michael E. Frantz, 17:2, 1986, 172-181, 5.1.4, 5.7.1, 1.2
Picturing Infinite Values, Robert A. Cicenia, 17:4, 1986, 322-325
An Unexpected Appearance of the Golden Ratio, George Manuel and Amalia Santiago, 19:2, 1988, 168-170, C, 0.4
A Discrete l'Hopital's Rule, Xun-Cheng Huang, 19:4, 1988, 321-329, 9.5
A Generaliz ation of the limit of [(n!)^(1/n)]/n = e^(-1), Norman Schaumberger, 20:5, 1989, 416-418, C, 9.5
A Recursively Computed Limit, Stephan C. Carlson and Jerry M. Metzger, 21:3, 1990, 222-224, C
A Geometric Proof of the limit as d approaches 0 from the positive side of -d ln d equals 0, John H. Mathews, 23:3, 1992, 209-210, C
A Circular Argument, Fred Richman, 24:2, 1993, 160-162, C
Does a Parabola Have an Asymptote?, David Bange and Linda Host, 24:4, 1993, 331-342, 5.1.5, 5.6.1
Maclaurin Expansion of Arctan x via L'Hopital's Rule, Russell Euler, 24:4, 1993, 347-350, C, 5.4.3
FFF #69. Calculation of a Limit, Cherie D'Mello, 25:1, 1994, 36, F  (also 26:5, 1995, 382-383)
Some Extensions of a Ubiquitous Geometric Limit Problem, David N. Adler, 27:4, 1996, 290-291, C
FFF. Two Limit Fallacies, Ed Barbeau, editor, 28:1, 1997, 44-46, F
Introduction to Limits, or Why Can't We Just Trust the Table?, Allen J. Schwenk, 28:1, 1997, 51, C
Geometric Evaluation of a Limit (proof by picture), Guanshen Ren, 28:3, 1997, 186, C
Order Relations and a Proof of l'Hopital's Rule, Leonard Gillman, 28:4, 1997, 288-292, C
Proof of a Common Limit (x / e^x) (proof without words), Alan H. Stein and Dennis McGavran, 29:2, 1998, 147, C
Things I Have Learned at the AP Reading, Dan Kennedy, 30:5, 1999, 346-355, 0.2, 5.1.2, 5.2.1, 5.2.6, 5.4.2, 6.1
The Limit of t ln t as t approaches 0 (Proofs Without Words), Thomas Gantner, 31:4, 2000, 273, C
FFF #175. A Proof that –1 = 1, Sung Soo Kim, 32:4, 2001, 282, F
FFF #179. A Wrong Version of Stirling’s Formula, Keith Brandt, 32:5, 2001, 363-365, F, 9.5
The Logarithm Function and Riemann Sums, Frank Burk, 32:5, 2001, 369-370, C, 5.2.1
An Application of L’Hopital’s Rule, Jitan Lu, 32:5, 2001, 370-372, C
FFF #197. Hospitalization, Bill Sands, 33:4, 2002, 309, F
FFF #202. A limit at negative infinity, Dunrun Huang, 34:1, 2003, 51-52, F
On the Indeterminate Form 0^0, Leonard J. Lipkin, 34:1, 2003, 55-56, C
A Non-Smooth Band Around a Non-Convex Region, J. Aarao, A. Cox, C. Jones, M. Martelli, and A. Westfahl, 37:4, 2006, 269-278, 5.7.3, 9.8
Skipping over logs in finding limits of the form 1^∞: Teaching Tip, Sidney Kung, 38:1, 2007, 42, C
The Convergence Behavior of  fa(x) = (1 + 1/x)^(x + α), Cong X. Kang and Eunjeong Yi, 38:5, 2007, 385-387, C, 5.3.2, 9.5
The Depletion Ratio, C. W. Groetsch, 39:1, 2008, 43-48, 5.2.1, 9.10
FFF #275. More striking results, Peter Schumer and Michael A. Jones, 39:1, 2008, 50, F, 0.2
Beyond the Basel Problem: Sums of Reciprocals of Figurate Numbers, Lawrence Downey, Boon W. Ong, and James A. Sellers, 39:5, 2008, 391-394, C, 5.2.5, 5.4.2