ques=>

lim_n->infinity(n⁵+2)^1/4-(n²+1)^1/3/(n⁴+2)^1/5-(n³+1)^1/2

ans=>0

actually  i wanna know the actual concept to solve these type of question so plz explain me the concept to  be applied

Just see the limit is approaching infinity.

So, alwyas remember 1/infinity approches to 0.

So, we try to form such an equation in which such a term comes.

For eg. In questions like lt x --> infinity x² + x / x² + 2x + 2

If highest power of both N and D are same, divide the N and D both by that power.

lt x--> infinity 1 + (1/x) / 1 + (2/x) + 2/x² = 1 / 1 = 1

In the given question asked by you, divide both N and D by n^3/2.

Ans = 0

Hope its clear now.