`lim_(x->pi/2) (tan 2x)/(x-pi/2)`

1.	`lim_(x->pi/2) (tan 2x)/(x-pi/2)`
Answer» Correct Answer - 2 Put `x-(pi)/(2)=h. Then, xto(pi)/(2)implies(x-(pi)/(2))to0implieshto0.` `thereforelim_(xto(pi)/(2))(tan2x)/((x-(pi)/(2)))=lim_(hto0)(tan2(h+(pi)/(2)))/(h)=2lim_(hto0)(tan(2h+pi))/(2h)` `=2 lim_(hto0)(tan2h)/(2h)=(2xx1)=2.`

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