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Use L''hopital''s rule since lim X-->0 1-cos(x)/1-cos(4x) is in the indeterminate form 0/0 when we apply the limtso by l''hoptital''s rule differentiate the numerator and denominatiorso we get lim x-->0 sin(x)/4sin(4x) again in the indeterminate form when we apply limit so again use l''hopitals'' rulelim x-->0 cos(x)/16cos(4x) now if u apply the limit we get it as 1/16so lim x--->0 1-cos(x)/1-cos(4x) = 1/16
The sum of the series 1+1/2+1/4,..is
Ionic solids, which have anionic vacancies because of metal excess defect develop colour. Illustrate with the help of a suitable example.
The area of the base of a prism can be expressed as x2 + 4x + 1 and the height of the prism can be expressed as x - 3. What is the volume of this prism in terms of x? Because t
George worked from 7:00 A.M. to 3:30 P.M. with a 45-minute break. If George earns $10.50 per hour and does not obtain paid for his breaks, how much will he earn? (Round to the near
Write the next two terms √12, √27, √48, √75................... Ans: next two terms √108 , √147 AP is 2 √3 , 3 √3 , 4 √3 , 5 √3 , 6 √3 , 7 √3 ......
a part of a line with two end points.
Given that f(x,y) = 3xy - x 2 y - xy 2 . Fi nd all the points on the surface z = f(x, y)where local maxima, local minima, or saddles occur
three years ago,Rica was thrice as old as dandy.Three years hence,she will be twice as old.Find their present.
2=42gf
together, pearl and harvey are going to visit their aunt on sunday. If Pearl visits their aunt every 6 days, while harvey every 8 days, on what day will they visit their aunt toget
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