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Can you plot the graph of a constant function \\(y=c?\\) What do you observe?<\/p>\n"},"subContentId":"0b4c193d-68ba-489c-bdea-0116db295164","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"pause":true,"displayType":"button","buttonOnMobile":false,"visuals":{"backgroundColor":"rgb(255, 255, 255)","boxShadow":true},"goto":{"url":{"protocol":"http:\/\/"},"visualize":false,"type":""},"label":""},{"x":47.81659388646288,"y":46.12403100775194,"width":10,"height":10,"duration":{"from":314.494,"to":324.494},"libraryTitle":"Single Choice Set","action":{"library":"H5P.SingleChoiceSet 1.11","params":{"choices":[{"subContentId":"258f8a27-ffc7-4295-beda-0365ecdcae28","question":"

What is the limit \\(\\lim_{x \\to 1} (x^2 - 2x +1)\\)?<\/p>\n","answers":["

0<\/p>\n","

1<\/p>\n","

-1<\/p>\n"]}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"autoContinue":true,"timeoutCorrect":2000,"timeoutWrong":3000,"soundEffectsEnabled":true,"enableRetry":true,"enableSolutionsButton":true,"passPercentage":100},"l10n":{"nextButtonLabel":"Next question","showSolutionButtonLabel":"Show solution","retryButtonLabel":"Retry","solutionViewTitle":"Solution list","correctText":"Correct!","incorrectText":"Incorrect!","muteButtonLabel":"Mute feedback sound","closeButtonLabel":"Close","slideOfTotal":"Slide :num of :total","scoreBarLabel":"You got :num out of :total points","solutionListQuestionNumber":"Question :num","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."}},"subContentId":"ccff5ef0-f69f-428c-998b-5a0f8c7ed322","metadata":{"contentType":"Single Choice Set","license":"U","title":"Untitled Single Choice Set"}},"pause":true,"displayType":"button","buttonOnMobile":false,"adaptivity":{"correct":{"allowOptOut":false,"message":""},"wrong":{"allowOptOut":false,"message":"

Use the limit law for constant, and the limit law for power functions, and then add\/subtract all the limits for each term<\/p>\n"},"requireCompletion":false},"label":""},{"x":47.81659388646288,"y":46.12403100775194,"width":10,"height":10,"duration":{"from":417.519,"to":427.519},"libraryTitle":"True\/False Question","action":{"library":"H5P.TrueFalse 1.8","params":{"media":{"disableImageZooming":false},"correct":"false","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"feedbackOnWrong":"In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables."},"l10n":{"trueText":"True","falseText":"False","score":"You got @score of @total points","checkAnswer":"Check","showSolutionButton":"Show solution","tryAgain":"Retry","wrongAnswerMessage":"Wrong answer","correctAnswerMessage":"Correct answer","scoreBarLabel":"You got :num out of :total points","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

The function \\(y=\\frac{1}{x}\\) is a polynomial. <\/p>\n"},"subContentId":"5054ac91-c37c-4804-8046-73fb99d2e941","metadata":{"contentType":"True\/False Question","license":"U","title":"Untitled True\/False Question"}},"pause":true,"displayType":"button","buttonOnMobile":false,"adaptivity":{"correct":{"allowOptOut":false,"message":""},"wrong":{"allowOptOut":false,"message":""},"requireCompletion":false},"label":""},{"x":47.81659388646288,"y":46.12403100775194,"width":10,"height":10,"duration":{"from":630.778,"to":640.778},"libraryTitle":"True\/False Question","action":{"library":"H5P.TrueFalse 1.8","params":{"media":{"disableImageZooming":false},"correct":"false","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"feedbackOnWrong":"\\( \\sqrt[3]{x} = x^{1\/3},\\) which is not the same with \\( \\frac{1}{x^3}\\)"},"l10n":{"trueText":"True","falseText":"False","score":"You got @score of @total points","checkAnswer":"Check","showSolutionButton":"Show solution","tryAgain":"Retry","wrongAnswerMessage":"Wrong answer","correctAnswerMessage":"Correct answer","scoreBarLabel":"You got :num out of :total points","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

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limit laws

Description

Xinli Wang