1ans 1)
a) lim= f(x) x<-1
b) lim = g(x) -1<x<0
c) lim=g(x) 0<x<1
d lim = f(x) x>1
2) 0
Q1 Find F(x)=limn→∞(x2nf(x)+g(x)x2n+1)
when:
a)x<-1
b)-1<x<0
c)0<x<1
d)x>1
where f(x) and g(x) are continuous functions
Q2 limn→∞ ann! ; a ε R
Q3 limn→∞ (1+1a1)(1+1a2)(1+1a3)...(1+1an)
where a1=1 and an=n(1+an-1) for n≥2
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8 Answers
11do you have the answers ? tell whether they are correct or wrong.
1a^{n}=e^{n*lna}
thus
\frac{a^{n}}{n!}= \frac{1+\frac{n*lna}{1!}+\frac{(n*lna)^{2}}{2!}+...}{n!}
above limit n→0 is zero.
1@rajat ans for 3rd is e ......its a very common q 
.....i posted teh link for it btw..