The value of limh→0 23sin⁡π6+h−cos⁡π6+hh(3sinh−cosh) is

limh→0 23sin⁡π6+h−cos⁡π6+hh(3sinh−cosh)=limh→0 432sin⁡π6+h−12cos⁡π6+hh(3sinh−cosh)=limh→0 4sin⁡π6+hcos⁡π6−cos⁡π6+hsin⁡π6h(3sinh−cosh)=limh→0 4sin⁡π6+h−π6h(3sinh−cosh)=4limh→0 sinhh(3sinh−cosh)=−4