limit

VITEEE Help › Calculus questions › limit

Lim (xâ†’âˆž) 2^t-3^txⁿ where t= xⁿe^x and n Îµ N =
a.ln(2/3)
b.0
c.n ln(2/3)
d. not defined

#Mathematics #Calculus

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7 Answers

24

eureka123 ·2009-08-18 10:34:54

b ???????

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1

Shriya ·2009-08-19 01:28:55

i don't know the correct answer ......can you please give your method?

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24

eureka123 ·2009-08-19 06:29:14

as xâ†’âˆž => tâ†’0
=> lim reduces to 0/âˆž =0

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11

Devil ·2009-08-19 06:35:22

Use the concept that when xâ†’âˆž 2^tâ‰ˆ3^t....
Apply the l-hospital if u wanna better ( and reassured) ans...

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62

Lokesh Verma ·2009-08-19 07:02:06

Lim (xâ†’âˆž) 2^t-3^txⁿ =Lim (xâ†’âˆž) 2^t-3^tt e^x
where t=xⁿe^x and n Îµ N =

thus you8 get ( ln2- ln 3 )/ e^x

which gives you zero :)

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24

eureka123 ·2009-08-20 10:54:26

@ soumik
it is not indeterminate form,
so we cant use LH rule[1]

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24

eureka123 ·2009-08-20 10:54:58

and nishant sir has again given a better soln than me..[4]

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Your Answer

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√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω