1.find d^10y/dx^10 2.d^ny/dx^n =?where n is apositive integer 3. find lim as x approches 0 (sinx-xcosx)/tanx

Question

this is a derivatve question

Answer 1

3)

lim x-->0 (sinx-xcosx)/tanx =?
0/0 indefinite
L'Hopital rule:
lim x-->0 (cosx-(cosx-xsinx))/(1+tan^x)

lim x-->0 xsinx /(1+tan^x)
=0/1=0