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Let function f be defined as f:R^(+)toR^...

Let function f be defined as `f:R^(+)toR^(+)` and function g is defined as `g:R^(+)toR^(+)`. Functions f and g are continuous in their domain. Suppose, the function `h(x)=lim_(ntooo)(x^(n)f(x)+x^(2))/(x^(n)+g(x)), x gt0`. If `h(x)` is continuous in its domain,then`f(1).g(1)` is equal to

A

2

B

1

C

`1/2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
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