lim x tends to 2 (2-x) tan pi x/4
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Lim(x ->0) {(2 - x ).tanx/4 }
first check form of limit by putting x =2
we see Limit is in the form of 0.∞
now,
Lim(x-->2) {(2 - x)/cotx/4 }
now we see limit is in the form of 0/0
use L - Hospital rule _____________
Limit (x--->0) { -1/-cosec²x/4 }
now put x = 2
= (-1)/(-1)
= 1
first check form of limit by putting x =2
we see Limit is in the form of 0.∞
now,
Lim(x-->2) {(2 - x)/cotx/4 }
now we see limit is in the form of 0/0
use L - Hospital rule _____________
Limit (x--->0) { -1/-cosec²x/4 }
now put x = 2
= (-1)/(-1)
= 1
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