`lim_(x-gt0^-){(|x|)/x+x^2+3}`

lim_(x-gt0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 (B) 2 (C) 4 (D) 6

lim_(x->o)[(x^4sin(1/x)+x^2)/(1+|x|^3)]=______

Evaluate the limits, if exist lim_(x-gt0)(log_e(1+2x))/(x)

lim_(x->0;)(root(3)(1+3x) \ -1-x)/((1+x)^(101)-1-101 x) has the value equal to

If f(x)={x+1/2, x<0 2x+3/4,x >=0 , then [(lim)_(x->0)f(x)]= (where [.] denotes the greatest integer function)

If f(x)={x+1/2, x<0 2x+3/4,x >=0 , then [(lim)_(x->0)f(x)]= (where [.] denotes the greatest integer function)

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is