NIMCET 2024 Paper

Section: Mathematics

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Question : 35 of 120

Marks: +1, -0

The value of

\lim ↙{x ⟶ 0} \;{e^x-e^{-x}-2 x}/{1-\cos x}

is equal to:

2
1
0
-1

Solution:

\;\lim ↙{x ⟶ 0} \;{e^x-e^{-x}-2 x}/{1-\cos x}=\;{e^x+e^{-x}-2}/{ sin \;x}

\;=\lim ↙{x ⟶ 0} \;{e^x-e^x}/{\cos x}=0

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