Question

$\:$
$\sf \: Calculate \\ \sf{ \purple{ \displaystyle \lim_{n \to \infty} \frac{1}{n} \biggl \{ \displaystyle{} (m + 1) (m + 2). \: . \: . \: .(m + n) \biggl \} {}^{ \frac{1}{n} } }}$
$\:$
$\bf \red{ Don't \: Spam \: plz}$
$\:$
​

Answer 1

Answer:

Correct option is A)

n→∞

lim

n

m+11 m+2 m+3 m+....n mn→∞

limr=1∑n

m+1r m

=

n→∞lim

[ n1∑(nr) m ]∫ 01

x dx=[ m+1x m+1] 01=m+11

Ans: A