Question

S lnl -lszet other wise Then choose the truee Statment. f is not continous at - 1 f is not continuous at o I is not consinious at 1 and 1 f is connaoces every where

Answer 1

solution :- Griven function is f(s = - I call 2 otherwise > - lcnco at x = 1 otherwise Note that function fins is said to be contimous at a point x=a iff f) tim usa- fr) = fra) U at a- option (1) lim f (2 U-14 him (6) -(-1) Also f(-1) = -(-1) = 1 and lim 2 fra 'lim Ger) 1 Sirce lim fro) - him fray = f(-10 = 1 n 1) (1) to Hence is 다 continuom at aa- option false. option : fran lem hto (-) = 0 non lim not fery - lim fx) flo=o.

to zo. since un fix) - lim firy hto- kot Heree f is continuem option false, option (3) : that f is continron In option we at De = -1 Now we check the continuity at r=1, lim fins lim 1 - أده him and f(1) = 1 fix) lim Ger) ht lim for for) = f(1) = f(1) = 1 Hence f is continuow x = also, option false Herce option (42 is Trne statement, ice. f is continuom every where