Question

limit x-27
x^1/3+3)(x^1/3-3)/x-27​

Answer 1

Answer:

We have,

x→27limx−27(x1/3+3)(x1/3−3)

=x→27lim(x1/3−3)(x2/3+9+3x1/3)(x1/3+3)(x1/3−3)                      [cancle both (x1/3−3)]

=9+9+3×33+3

=276

=92

Hence the required answer is 92.