Let `L_1=(lim)_(xvec4)(x-6)^x n dL_2=(lim)_(xvec4)(x-6)^4dot` Which of the following is true? Both `L_1a n dL_2` exists Neither `L_1a n dL_2` exists `L_1` exists but `L_2` does not exist `L_2` exists but `L_1` does not exist

Let L_1=(lim)_(x^vec4)(x-6)^x and L_2=(lim)_(x^vec4)(x-6)^4dot Which of the following is true? Both L_1a n dL_2 exists Neither L_1a n dL_2 exists L_1 exists but L_2 does not exist L_2 exists but L_1 does not exist

Let L_(1)=lim_(x rarr4)(x-6)^(x)ndL_(2)=lim_(x rarr4)(x-6)^(4) Which of the following is true? Both L_(1) and L_(2) exists Neither L_(1) and L_(2) exists L_(1) exists but L_(2) does not exist L_(2) exists but L_(1) does not exist

Let L_(1)=lim_(xrarr4) (x-6)^(x)and L_(2)=lim_(xrarr4) (x-6)^(4) . Which of the following is true?

Let L_(1)=lim_(xrarr4) (x-6)^(x)and L_(2)=lim_(xrarr4) (x-6)^(4) . Which of the following is true?

Let L_(1)=lim_(xrarr4) (x-6)^(x)and L_(2)=lim_(xrarr4) (x-6)^(4) . Which of the following is true?

Consider the function f(x) =[(1-x,0 leq x leq 1),(x+ 2, 1 lt x lt 2),(4-x,2 leqxleq4)). Let lim_(x->1) f(f(x))= l and lim_(x->1) f(f(x))=m then which one of the following hold good ? (A) l exist but m does not (B) m exist but l does not (C) both exist (D) both does not exist

Let lim_(x->0)([x]^2)/(x^2)=l and lim_(x->0)([x^2])/(x^2)=m , where [dot] denotes greatest integer. Then (a) l exists but m does not (b) m exists but l does not (c)both l and m exist (d) neither l nor m exists

Let L=("lim")_(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i t e ,t h e n a=2 (b) a=1 L=1/(64) (d) L=1/(32)

Let lim_(x->0)([x]^2)/(x^2)=l and lim_(x->0)([x^2])/(x^2)=m , where [dot] denotes greatest integer. Then (a) l exists but m does not (b) m exists but l does not (c)both l and m exist (d) neither lnorm exists

If L=("lim")_(nvecoo)(2x3^2x2^3x3^4 x2^(n-1)x3^n)^1/((n^(2+1)) , then the value of L^4 is