If l i m x → 0 kx cosec x = l i m x → 0 x cosec kx , then k = Options: A . &nbsp1 B . &nbsp-1

Answer: Option C : C l i m x → 0 kx cosec x = l i m x → 0 x cosec kx = k l i m x → 0 x s i n x = 1 k l i m x → 0 k x s i n k x =k= 1 k =k=± 1

If limx→0kx cosec x = limx→0x cosec kx , then k =

Question

l i m_{x \to 0}

kx cosec x =

l i m_{x \to 0}

x cosec kx , then k =

Options:

A . 1

B . -1

Answer: Option C
:
C

l i m_{x \to 0}

kx cosec x =

l i m_{x \to 0}

x cosec kx
= k

l i m_{x \to 0}

\frac{x}{s i n x}

\frac{1}{k}

l i m_{x \to 0}

\frac{k x}{s i n k x}

=k=

\frac{1}{k}

=k=± 1

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