Find the following limit. lim_{xrightarrow+infty}(frac{3-12x}{3x+5}+cscfrac{pi x+pi}{4x})

snowlovelydayM 2021-02-12 Answered
Find the following limit.
limx+(312x3x+5+cscπx+π4x)
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Expert Answer

Neelam Wainwright
Answered 2021-02-13 Author has 102 answers
Given:
limx+(312x3x+5+cscπx+π4x)
Solution:
limx+(312x3x+5+cscπx+π4x)=limx+(312x3x+5)+limx(csc(πx+π4x))
=limx+(x(3x12)x(3+5x))+limx+(csc(x(π+πx)4x))
=limx+(3x123+5x)+limx+(csc(π+πx4x))
=0123+0+csc(π+04)
=123+csc(π4)
=4+2
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Jeffrey Jordon
Answered 2022-04-01 Author has 2070 answers

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