_ h 0 (a+3 h)-3 (a+2 h)+3 (a+h)- a h^ 3 is

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

\(\lim _{h \rightarrow 0} \frac{\sin (a+3 h)-3 \sin (a+2 h)+3 \sin (a+h)-\sin a}{h^{3}}\) is
  1. sin a
  2. –sin a
  3. cos a
  4. –cos a

Answer

(D) –cos a

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