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CBSE Class 12-science Answered

<div>Q;Find the value of m such that the function</div> <div>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;F(X)= &nbsp; &nbsp; &nbsp;m(<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=6ab053eb77594dfda3fccfc8db9f9c73.png" alt="x squared" align="middle" />-2x) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=5799b6afd56882ee375b3e679b24293c.png" alt="x less than 0" align="middle" /></div> <div>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;cosx &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=6af23e75dae13736fd3084e8786880db.png" alt="x greater or equal than 0" align="middle" /></div> <div>is continous at x=0</div>
Asked by Ravi consul | 15 Mar, 2015, 07:56: PM
Expert Answer
f left parenthesis x right parenthesis space equals space open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell m left parenthesis x squared minus 2 x right parenthesis end cell cell x less than 0 end cell row cell cos space x end cell cell x greater or equal than 0 end cell end table close S i n c e space t h e space f u n c t i o n space i s space c o n t i n o u s space a t space x equals 0 L H L comma x equals 0 minus h limit as h rightwards arrow 0 of space m left square bracket left parenthesis 0 minus h right parenthesis squared minus 2 left parenthesis 0 minus h right parenthesis right square bracket equals limit as h rightwards arrow 0 of space m left square bracket h squared plus 2 h right square bracket equals 0 R H L comma x equals 0 plus h limit as h rightwards arrow 0 of space cos space left parenthesis 0 plus h right parenthesis equals limit as h rightwards arrow 0 of cos space h equals 1 P l e a s e space c h e c k space t h e space q u e s t i o n comma space t h e space f u n c t i o n space i s space n o t space a space c o n t i n o u s space f u n c t i o n. space F o r space c l a r i t y comma space t h e space g r a p h space o f space t h e space f u n c t i o n space i s space a l s o e x p l a i n e d space a b o v e.
Answered by Prasenjit Paul | 16 Mar, 2015, 11:59: AM
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