The value of `1/2+1/4` is equal to ?

If L=lim_(xrarr(pi)/(4))((1-tanx)(1-sin2x))/((1+tanx)(pi-4x)^(3)) , then the value of 4 L is equal to

Let f: (-2, 2) rarr (-2, 2) be a continuous function such that f(x) = f(x^2) AA Χin d_f, and f(0) = 1/2 , then the value of 4f(1/4) is equal to

If 1 , a, b and 4 are in harmonic progression , then the value of a + b is equal to

If {:X=[(3,-4),(1,-1)]:} , the value of X^n is equal to

If {:X=[(3,-4),(1,-1)]:} , the value of X^n is equal to

If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3+3x-14 is equal to 1 (b) 0 (c) 2 (d) 4

If x=(7+5sqrt(2))^(1/3)-1/((7+5sqrt(2))^(1/3)) , then the value of x^3+3x-14 is equal to 1 b. 0 c. 2 d. 4

Consider the function g(x) defined as g(x) (x^(2011-1)-1)=(x+1)(x^2+1)(x^4+1)...(x^(2^(2010))+1)-1 . Then the value of g(2) is equal to

The coefficient of the (2m+1)^("th") and (4m+5)^("th") terms in the expansion of (1+x)^(100) are equal, then the value of (m)/(2) is equal to

If the lines (x-1)/(1)=(y-3)/(1)=(z-2)/(lambda) and (x-1)/(lambda)=(y-3)/(2)=(z-4)/(1) intersect at a point, then the value of lambda^(2)+4 is equal to