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Consider, f(x) =((x^(2)-1)(x^(2)-4))/( g(x)), x in R- {a,b} , where g(X)is apolynomial ofdegree le4. f(x)hasa removabletype ofdiscontinuity at x=and x=b. Alsoit is known that (i)lim_( x to +-oo) f(X) =+oo (ii) lim_( x to -1) f(x) =6 (iii)lim_( x to -2) f(x) = a non -zero finite number LEt L andM denote the numberof points ofdiscontiuityandthe numberof pointsof non - derivatively repectively of nay functionin R.(R is the of real numbers )Number of pointswhere f(|x|)is non- differentiablein its domain is |
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Answer» 2 |
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