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

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 -

If $l i m_{x \to 0}$ kx cosec x = $l i m_{x \to 0}$ x cosec kx , then k =

Options:

A . 1

B . -1

C .

D .

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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