If is finite, then is equal to :

Question

If  is finite, then  is equal to :

Canvas Classes · Accepted Answer

🧠 Reading the Question — Match Taylor Coefficients Up to Order

The phrase "limit is finite" with denominator  means the numerator's Taylor expansion must vanish through order . In other words: the constant term,  coefficient,  coefficient, and  coefficient of  must all be zero. The  coefficient then becomes the finite limit.

So our plan: expand  and  as Taylor series up to , collect coefficients of  (no odd terms appear since  is even), and set the lower ones to zero.

🗺️ Working It Out

Us

More questions from this chapter

More questions from this chapter