The function `f(x)={x^2a a(2b^2-4b)/(x^2)` `,if0lt=x<1,if1lt=x

The function f(x)={x^2a a,if1lt=x

The function f(x)={x^2a a,if1lt=x

The function f(x) = (x^(2))/(a) , if 0 le x le 1 =a, if 1 le x lt sqrt(2) = (2b^(2) - 4b)/(x^(2)) , if sqrt(2) le x lt oo is continuous for 0 le x lt oo , then the most suitable values for a and b are :

The function f(x)={{:(,(x^(2))/(a),0 le x lt 1),(,a,1le x lt sqrt2),(,(2b^(2)-4b)/(x^(2)),sqrt2 le x lt oo):} is a continuous for 0 le x lt oo . Then which of the following statements is correct?

The function f(x)={{:(,(x^(2))/(a),0 le x lt 1),(,a,1le x lt sqrt2),(,(2b^(2)-4b)/(x^(2)),sqrt2 le x lt oo):} is a continuous for 0 le x lt oo . Then which of the following statements is correct?

Find the values of aa n db so that the function f(x) defined by f(x)={x^2+a x+b,0lt=x<2 3x+2,2lt=xlt=42a x+5b ,4

if f(x) = {:{ (1+x, ,0 le x le2), (3-x, ,2 lt x le3):} Determine the points of discontinuity of the function f (f(x)) (ii) Check the continuity of the function f(x) = [x]^(2) - [x^(2)] (iii) find the values of a and b if f is continuous at x = pi/2 f(x)= {:{((8/5)""^(tan8x)/(tan 5x) , , 0 lt x lt pi//2),(a+4, , x=pi//2), ((1+|cot x|)""^(b|tan x|)/a, , pi/2 lt x lt pi):}

Let a , b, in R , (a ne 0) . If the function defined as f(x) ={{:((2x^(2))/(a) , 0 le x lt 1),(a , 1 le x lt sqrt(2)),((2b^(2 ) - 4b)/(x^(3) ), sqrt(2) le x lt oo):} is continuous in the interval [0 ,oo) , then an ordered pair (a,b) is :

A: The functions f(x)=(1+cos^(3)x)/(x^(2))x!=0:f(0)=-(3)/(2) is continuous at x=0R: A function is continuous at x=a if Lt_(x rarr a)f(x)=f(a)