Question

I was checking a school math book , and found this rule
\(\Large \lim _{n \to 1}\frac{x^n-1}{x-1}=n\) but thought it was so wrong to put such rules for students to memorize , i mean its all about deriving things , don't you agree ?

Answer 1

such formulas are important in exam where u have less time, where an amateur student can quickly recognize it which saves time

Answer 2

well , i dont think it would take time when a student understand how to make such limits unlike memorizing which might be tough sometimes

Answer 3

i agree to @PHP

Answer 4

i said amateur students not every student is good in maths as @Marki

Answer 5

why reward and encourage amateurs and mediocrity?

Answer 6

hmm, my goal in teaching is to provide a good step for solving to all of my student, idont care how amateurs or how good in math she/he is .

Answer 7

thats good ^

Answer 8

they have the right to know , and IMHO i think doing this memorizing stuff keep students away from thinking

Answer 9

:O

Answer 10

you have to be born in usa first
and be 35 :p

Answer 11

yes memorizing isnt the solution

Answer 12

lol

Answer 13

:O lol @bibby

Answer 14

you will fail in chemistry if u dont memorize periodic table

Answer 15

i memorize (a+b)^2 formula and few trig identities but i know how to derive them hmm

Answer 16

haha

Answer 17

not at all, in chemistry they gave u the periodic table ;)

Answer 18

in exams ...ect

Answer 19

they dont give in india

Answer 20

woah :O so strict

Answer 21

i still remember first 30 elements of periodic table in my head and can sing even if u wake me up from sleep and ask..

Answer 22

well even in my regression analysis exams i was given 3 papers for references in exams itself, like t,z,f table + all rules

Answer 23

their is a word called \("pattern~recognization"\) in chess. which is altogether different from memorizing.

Answer 24

i memorize the whole table for some reason :3

Answer 25

do you memorize alphabets ?

Answer 26

omg u guys are all soo geniuses :D

Answer 27

hey im not saying about such necessary stuff to memorize , if u check my question u would see what im talking about

Answer 28

ikr :) was just trying to maintain a different opinion as this thread is going monotone haha!

Answer 29

cool stuff \(\Huge \rightarrow\) http://en.wikipedia.org/wiki/Checkmate_pattern

Answer 30

hmm its been long time since i played chess

Answer 31

hmm thats a True story^^^^^^^^^^^
no periodic table n Asian counttries :(

Answer 32

why not i'll see :)

Answer 33

i live in Asia :O

Answer 34

bec WE ARE VERYYYY INTELLIGENT
:P:D:P:D:P:D

Answer 35

debate \(\Huge \rightarrow\) http://math.stackexchange.com/questions/85681/is-memorization-a-good-skill-to-learn-or-master-mathematics

Answer 36

not at all ... i completly disagree xD

Answer 37

very funny answer there

Answer 38

ending the game with rook is fast compared to queen

Answer 39

hmm

Answer 40

no! \(\huge \uparrow\) the queen is the most powerful piece

Answer 41

and it ends game fast than rook

Answer 42

lets play chess

Answer 43

chess is a math problem

Answer 44

nope, with queen you need to be careful that game doesnt become draw because of not leaving an opponent with a step to move

Answer 45

i thought its algorithm

Answer 46

thats the reason end game with queen takes more steps compared to rook

Answer 47

it is a draw when opponent has nowhere to go without a check

Answer 48

thats a different thinng called the \(stalemate\), if in high level chess u have a queen vs rook , the side with the queen wins most likey ,

Answer 49

yes the stalemate is the last chance to save the game and is very useful trick!!

Answer 50

right, that only happens in amatuer games.. the professional players usually resign right after losing a piece. most games don't go till checkmate step

Answer 51

here is funny stalemate, where the black had every thing win tobut the game was drawn,

http://www.chessgames.com/perl/chessgame?gid=1255706

Answer 52

next move is black ?

Answer 53

the last move was white's move but he had nowhere to go so stalemate

Answer 54

click this button for last phase \(\huge >>\)

Answer 55

thats hilarious lol looks he is rushing to convert his 3 pawns as queens and forgot the position of white king! i pity black haha

Answer 56

yes thats embarrassing haha!

Answer 57

even the world champions have falled in that trap

Answer 58

James Adams Congdon vs Eugene Delmar
5th American Chess Congress (1880) · Spanish Game: Bird Variation (C61) · 1/2-1/2

Answer 59

that draw is only because of carelessness

Answer 60

here is another game where whits is non other than the immotal
garry kasparove , he was world no 1 for i think 10 or more years and he falls in the trap

http://www.chessgames.com/perl/chessgame?gid=1258478

Answer 61

lol what a blunder ! xD

Answer 62

check this videos (2-3 min videos have fun!)

https://www.youtube.com/watch?v=HY3SM3GKjd8

https://www.youtube.com/watch?v=DxbMzZ5a2Zg

Answer 63

:O