Grade 11Differential Calculus
Evaluate limit x tends to 2 x to the power 10 minus 1024 divided by x x to the power 8 minus 256
Evaluate limit x tends to 2 x to the power 10 minus 1024 divided by x x to the power 8 minus 256
1 Answer
Sayam
=lt x
2 x10-1024/x8-256
=lt x2 x10-210/x8-28
=lt x2 (x10-210)(x-2)/(x8-28)(x-2)...........multiply and divide x-2
=lt x2 (x10-210)/(x-2) X lt x2 (x-2)/(x8-28) ….....i
Applying the rule
lt xa (xn-an)/(x-a)=nXan-1
now the equation i becomes-
=10X29/8X27= 5
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