Lt x-0 4 raises x - 1 whole cube divided by (sin0.25x) (log(1+x whole square by 3) )

Question

Continuous at x=0 find f(0)

Answer 1

When x=0 the numerator is non-zero while the denominator becomes zero, so the limit is infinity as x→0.

If the numerator→0 as x→0 then this problem would have been handled differently, because f(0) would have produced 0/0 which is indeterminate and would have required deeper investigation.