Question
Sun March 15, 2015 By: Ravi Consul

Q;Find the value of m such that the function
                     F(X)=      m(Q;Find the value of m such that the function
     , Question no 89305, Mathematics
                                   cosx                        Q;Find the value of m such that the function
     , Question no 89305, Mathematics
is continous at x=0

Expert Reply
Prasenjit Paul
Mon March 16, 2015
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.
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