Limits+lcd

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iTeachChem Helper
iTeachChem Helper•2mo ago
@Apu
iTeachChem Helper
iTeachChem Helper•2mo ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
CorrodedCoffin
CorrodedCoffinOP•2mo ago
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CorrodedCoffin
CorrodedCoffinOP•2mo ago
Limits aa gyi , can't figure out the lcd part
SirLancelotDuLac
SirLancelotDuLac•2mo ago
3cos(x) ranges from [-3,3] in the given interval, if 3cos(x)<log(3), the g.i.f. turns zero. For log(3)<3cos(3)<log(3)+log(2)=log(6), g.i.f. turns 1, and so on. e^3 is approximately (2.7)^3 ig which is 243*81/10^3 which is 19.683 Toh this the maximum the g.i.f can reach is 6. So it goes from 6 to 5 (1 disc.), 5 to 4 (2nd disc.) and so on till it reaches zero and remains zero for the rest. So 6 discontinuities?
CorrodedCoffin
CorrodedCoffinOP•2mo ago
ans shi hai but my braincells are turning off so subah dekhunga @vj25_ tune bhi aise hi kia tha ??
vj25_
vj25_•2mo ago
yes...function aa gya tha but discontinuity nahi nikli thi 😢
CorrodedCoffin
CorrodedCoffinOP•2mo ago
same i can just ignore the inequalities and directly analyse the extremes of the function e^3 is nearly 19.6 and e^-3 = 0.04 . so 6 multiples of 3 are covered and thus 6 breaks will be seen
SirLancelotDuLac
SirLancelotDuLac•2mo ago
Sure but note that if we had sine function or smth we would have had to think about where it achieves maximum or is increasing.
CorrodedCoffin
CorrodedCoffinOP•2mo ago
follows a similar pattern ??
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SirLancelotDuLac
SirLancelotDuLac•2mo ago
Yep sin and cos follow similar patterns but I'm just sayin'. Its not necessary that just checking end points is not safe every time.
CorrodedCoffin
CorrodedCoffinOP•2mo ago
alrr got it thanx +solved @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helper•2mo ago
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