Trigonometric Function Limits: Grade 12 Math Problems & Solutions

លីមីតននអនុគមន៍ត្តីកកោណមាត្ត ថនាក់ទី ១២ sin ax 1  cos x 1  cos x 1  0 , lim  ើយ x  0 សរលសរឲ្យចូលរូបមន្ត lim ax  1 , lim x 2 x0 x0 x0 x2 I. រាងសូ ន្យលលើសូន្យ ល sin 4 x  sin3x .................................................................................................................................. x x0 ក. lim 1  cos x ............................................................................................................................................ x  0 x sin 2x ខ. lim 1  cos x cos2x គ. lim x2 x0 .................................................................................................................................. ..................................................................................................................................................................... ឃ. lim 2  cos2x  cos3x x2 x0 ......................................................................................................................... ..................................................................................................................................................................... 1  cos4 x .......................................................................................................................................... sin x x0 ង. lim 1  sin 2x  cos x ............................................................................................................................... x  sin3x x0 ច. lim II. ករណី x មន្ ើ បរី កកត្តតសត្មួល ិ ខិតលៅរក 0 លទ តតត្តីលោណមាត្តលលើលត្ោម លយើងពាយាមបំតបករូបមន្ត ឬ ផលគុណកត្តត ល ម sin2 x ............................................................................................................................................ x   1  cos x ក. lim ខ. lim x cos2 x  1  sin3 x 2 ......................................................................................................................................... tan x  1 ...........................................................................................................................................  cos2x x គ. lim 4 ឃ. lim 2sin x  1 2  x  3  4 cos x 6 ង. lim 2cos2x  1 2  x  4 sin x  1 6 ..................................................................................................................................... ....................................................................................................................................... បង្រៀនងោយងោក្រូ ឃួន សុវឌ្ឍណា Telegram : 010981010 III. ករណី x មន្ ិ ខត ិ លៅរក 0 ល លបើ យ ើ ត្តលី ោណមាត្តលលើ ន្ង ិ លៅលត្ោមព ុធា លយង ើ ត្តូវត្តង t  x  a  x  a  t x  a  t  0 រួច ូរលីមត ើ ពអ ិ រួចអន្ុវតត ូចទី I ី ល ម ី លថរ x លៅអលថរ t វញ A  lim sin 4 x  2x   x 2 ............................................................................................................................................   6sin  x   3   .................................................................................................................................. B  lim  3 x   x 3 D  lim  x 6 2sin x  1 ...................................................................................................................................... 6x   ..................................................................................................................................................................... E  lim  x 4 2cos x  2 ................................................................................................................................... x  4 ..................................................................................................................................................................... F  lim  x 4 sin x  cos x ................................................................................................................................... 4x   ..................................................................................................................................................................... G  lim  x 3 sin x  3 cos x .............................................................................................................................. 3x   ..................................................................................................................................................................... H  lim x  6 3 sin x  cos x ............................................................................................................................. sin 6x ..................................................................................................................................................................... បង្រៀនងោយងោក្រូ ឃួន សុវឌ្ឍណា Telegram : 010981010

Trigonometric Function Limits: Grade 12 Math Problems & Solutions

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Trigonometric Function Limits: Grade 12 Math Problems & Solutions

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