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Q.

If Ltx→∞1+ax+bx22x=e2 then the values of a and b

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a

a∈R,b∈R

b

a=1  and  b=2

c

a∈R,  b=2

d

a=1,  b∈R

answer is D.

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Detailed Solution

Ltx→∞1+ax+bx22x=e2⇒elimx→∞(1+ax+bx2-1)2x =e2⇒elimx→∞(2a+2bx)=e2⇒ e2a=e2∴a=1  and  b∈R.
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If Ltx→∞1+ax+bx22x=e2 then the values of a and b