The set of real values of 'x' satisfying the equality `[3/x]+[4/x]=5` belongs to the interval `(a,b/c]` where `a,b,c in N` and `b/c` is in its simpolest form. Find the value of `a+b+c+abc` (where [.] =G.IF)

The set of real values of ‘x’ satisfying the equality [(3)/(x)] + [(4)/(x)] = 5 (where [ * ] denotes the greatest integer function) belongs to the interval (a , (b)/(c ) ] where a , b , c in N and (b)/( c) is in its lowest form . Find the value of a + b + c + abc .

If abc =0 then find the value of [(x^a)^b]^c .

If the value of lim_(x rarr oo)x(e-((x+2)/(x+1))^(x)) equals (ae)/(b) where (a)/(b) is a rational in its lowest form,find the value of (a^(4)+b^(5))

If cos^(4)x is expressed in the form a cos4x+b cos2x+c where a,b and c are constants then the value of (a+b+c) ,is equal

If a+2b+3c=4 ,where a,b,c in R^(+) and the greatest value of (abc) is "M",then the value of (8)/(M) is

If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the value of x(a ,b and c are distinct numbers) .

If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the value of x(a ,b and c are distinct numbers) .

Show that the minimum value of (x+a)(x+b)//(x+c) where a > c ,b > c , is (sqrt(a-c)+sqrt(b-c))^2 for real values of x > -c .