" 14."f(x)={[3,," if "0<=x<=1],[4,," if "1

Discuss the continuity of the function f defined by f(x)={3,quad if 0<=x<=14,quad if x=25,quad if quad 3<=x<=10

Discuss the continuity of the function f, where f is defined by 'f (x)={3, if olexle 1;4, if 1

If f'(x)=2-5/x^(4) " and " f(1)=14/3, " then " f(-1)=

If f'(x)=2-5/x^(4) " and " f(1)=14/3, " then " f(-1)=

If f(x) is defined as f(x)={{:(2x+3,x,le 0),(3x+3,x,ge 0):} then evaluate : lim_(xrarr0) f(x) "and" lim_(xrarr1) f(x)

Let f_1:R→R,f_2:[0,∞)→R, f_3:R→R and f_4:R→[0,∞) be defined by f_1(x)={ ∣x∣ if x<0 ; e^x if x≥0 ; f_2(x)=x^2 ; f_3(x)={ sin x if x<0 ; x if x≥0 ; f_4(x)={ f_2(f_1(x)) if x<0 f_2(f_1(x)) if x≥0 ​then f_4 is

[" 14.If "f(x)=(1*cos2x)/(x^(2))quad :x!=0" and "f(x)" is continuous at "x=0" ,then "f(0)=?],[[" (a) "1," (b) "2," (c) "3," (d) None of these "]]

[" 14.If "f(x)=(1-cos2x)/(x^(2))quad " (b) "x!=0" and "f(x)" is continuous at "x=0" ,then "f(0)=?],[[" (a) "1," (b) "2," (c) "3," (d) None of these "]]

" Let "f:(3,6)rarr(1,4)" defined by "f(x)=x-[(x)/(3)]" where "[.]" is the "GIF" then "f^(-1)(x)