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Grade 12IIT JEE Entrance Exam

lim (e^x +e^-x+2cosx -4)x^4
x-0

Profile image of yash
11 Years agoGrade 12
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2 Answers

Profile image of Jitender Singh
11 Years ago
Ans:
Hello Student,
Please find answer to your question below

L = \lim_{x\rightarrow 0}\frac{e^{x}+e^{-x}+2cosx-4}{x^{4}}
It is zero by zero from. Use L’Hospital rule
L = \lim_{x\rightarrow 0}\frac{e^{x}-e^{-x}-2sinx}{4x^{3}}
L = \lim_{x\rightarrow 0}\frac{e^{x}+e^{-x}-2cosx}{4.3x^{2}}
L = \lim_{x\rightarrow 0}\frac{e^{x}-e^{-x}+2sinx}{4.3.2x}
L = \lim_{x\rightarrow 0}\frac{e^{x}+e^{-x}+2cosx}{4.3.2.1}
L = \frac{1+1+2}{4.3.2.1}
L = \frac{1}{6}
Profile image of Abhishek Pachauri
11 Years ago
its very simple.write all the expressionss.and get 1/6

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