(1/5^-2 -1/4^-3 )x -1/2^-4 is equal to

If 2^(-m)\ xx1/(2^m)=1/4, then 1/(14)\ {(4^m)^(1//2)+\ (1/(5^m))^(-1)} is equal to (a) 1/2 (b) 2 (c) 4 (d) -1/4

lim(x->0)(1/(x^5)int_0^xe^(-t^2)dt-1/(x^4)+1/(3x^2)) is equal to

2[(1)/(2x + 1) + (1)/(3(2x + 1)^(3)) + (1)/(5(2x + 1)^(5)) + (1)/(5(2x + 1)^(5)) + …] is equal to ,

int_-1^1 (17x^5-x^4+29x^3-31x+1)/(x^2+1)dx is equal to (A) 4/5 (B) 5/4 (C) 4/3 (D) 3/4

The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are equal to-

5.The value of (i^(4x+1)-i^(4x-1))/(2) is equal to (a) 1 (b) -1 (c) -i (d) 0

int(1)/(x^(1//2)(1+x^(2))^(5//4))dx is equal to

If g is the inverse of a function f and f^'(x)=1/(1+x^5) then g^'(x) is equal to (1) 1""+x^5 (2) 5x^4 (3) 1/(1+{g(x)}^5) (4) 1+{g(x)}^5

The sum (2^(1))/(4^(1) - 1) + (2^(2))/(4^(2) - 1) + (2^(4))/(4^(4) - 1) + (2^(8))/(4^(8) - 1) +... oo is equal to (A) 2 (B) 1 (C) 3 (D) 5

("lim")_(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2