HP 39gs

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iii) Find

lim

x→∞

Limits to infinity are also permitted using the

lim function, with infinity

entered using the shortcut

SHIFT 0.

scroll to lim and press ENTER

ENTER

344

Main Page

Table of Contents3
Introduction7
Getting Started9
Some Keyboard Examples10
Keys & Notation Conventions11
Everything Revolves Around Aplets14
The HOME View18
What Is the HOME View18
Exploring the Keyboard19
Angle and Numeric Settings28
Memory Management30
Fractions on the Hp 39Gs and Hp 40Gs33
Fraction Setting36
The HOME History37
Storing and Retrieving Memories39
Referring to Other Aplets from the HOME View40
A Brief Introduction to the MATH Menu41
Resetting the Calculator42
Summary45
The Function Aplet46
Auto Scale49
The PLOT SETUP View50
The Default Axis Settings52
The Bar52
The Menu Bar Functions53
The FCN Menu57
The Expert: Working with Functions Effectively62
The VIEWS Menu85
Downloaded Aplets from the Internet91
The Parametric Aplet92
The Expert: Vector Functions95
Fun and Games95
Vectors96
The Polar Aplet98
The Sequence Aplet99
The Expert: Sequences & Series102
The Solve Aplet105
The Expert: Examples for Solve113
The Statistics Aplet - Univariate Data114
The Expert: Simulations & Random Numbers120
The Statistics Aplet - Bivariate Data123
The Expert: Manipulating Columns & Eqns133
The Inference Aplet141
The Expert: Chi 2 Tests & Frequency Tables147
The Linear Solver Aplet150
Example 1150
Example 2150
Example 3151
The Triangle Solve Aplet152
Example 1152
Example 2153
Example 3154
The Finance Aplet155
The Quad Explorer Teaching Aplet159
The Trig Explorer Teaching Aplet162
The MATH Menus165
Accessing the MATH Menu Commands166
The PHYS Menu Commands168
The MATH Menu Commands169
The 'Real' Group of Functions170
The 'Stat-Two' Group of Functions178
The 'Symbolic' Group of Functions179
The 'Tests' Group of Functions182
The 'Trigonometric' & 'Hyperbolic' Groups of Functions182
The 'Calculus' Group of Functions184
The 'Complex' Group of Functions186
The 'Constant' Group of Functions189
The 'Convert' Group of Functions189
The 'List' Group of Functions190
The 'Loop' Group of Functions193
The 'Matrix' Group of Functions195
The 'Polynomial' Group of Functions202
The 'Probability' Group of Functions205
Working with Matrices209
Working with Lists215
Working with Notes & the Notepad217
Independent Notes and the Notepad Catalog219
Creating a Note220
Working with Sketches222
The DRAW Menu223
Copying & Creating Aplets on the Calculator226
Different Models Use Different Methods to Communicate227
Sending/Receiving Via the Infra-Red Link or Cable228
Creating a Copy of a Standard Aplet230
Some Examples of Saved Aplets232
Storing Aplets & Notes to the PC237
Overview237
Software Is Required to Link to a PC238
Sending from Calculator to PC239
Receiving from PC to Calculator244
Aplets from the Internet245
Using Downloaded Aplets249
Deleting Downloaded Aplets from the Calculator250
Capturing Screens Using the Connectivity Kit251
Editing Notes Using the Connectivity Software252
Programming the Hp 39Gs & Hp 40Gs255
The Design Process255
Planning the VIEWS Menu257
The SETVIEWS Command259
Example Aplet #1 - Displaying Info262
Example Aplet #2 - the Transformer Aplet268
Designing Aplets on a PC270
Example Aplet #3 - Transformer Revisited272
Example Aplet #4 - the Linear Explorer Aplet274
Alternatives to HP Basic Programming281
Flash ROM284
Programming Commands286
The Aplet Commands286
The Branch Commands287
The Drawing Commands289
The Graphics Commands291
The Loop Commands291
The Matrix Commands292
The Print Commands293
The Prompt Commands294
Appendix A: some Worked Examples298
Finding the Intercepts of a Quadratic298
Finding Complex Solutions to a Complex Equation299
Finding Critical Points and Graphing a Polynomial300
Solving Simultaneous Equations302
Expanding Polynomials304
Exponential Growth305
Solution of Matrix Equations307
Finding Complex Roots308
Complex Roots on the Hp 40Gs309
Analyzing Vector Motion and Collisions310
Circular Motion and the Dot Product311
- Inference Testing Using the Chi 2 Test312
Appendix B: Teaching or Learning Calculus314
Investigating the Graphs of Y=X N for N an Integer314
Domains and Composite Functions315
Gradient at a Point317
Gradient Function318
The Chain Rule319
Optimization319
Area under Curves320
Fields of Slopes and Curve Families320
Inequalities321
Rectilinear Motion321
Limits321
Piecewise Defined Functions322
Sequences and Series322
Transformations of Graphs323
Appendix C: the CAS on the Hp 40Gs324
Introduction324
Using the CAS327
Examples Using the CAS341
The CAS Menus358
On-Line Help361
Configuring the CAS362
Tips & Tricks - CAS366

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