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Q.

If limx→0pcosx +xe1x1+sin x+q cos x.e1x=0, then which of the following is/are incorrect about p, q ?

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a

p =0, q∈R

b

p =4, q=2

c

p =2, q∈R

d

p=0,q=2

answer is .

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Detailed Solution

limx→0+pcosxe1x +x1+sin xe1x+q cos x=0     ⇒q∈R−{0}    limx→0-pcosx+xe+1x1+sin x+q cos xe1x⇒p=0
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If limx→0pcosx +xe1x1+sin x+q cos x.e1x=0, then which of the following is/are incorrect about p, q ?