anonymous
  • anonymous
What value must be chosen for a to make tis function continuous at -1? 2x^3+x^2+7x+8/x+1 when x<-1 and by -x^2+2x+a when -1< or = x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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nenadmatematika
  • nenadmatematika
lim of the function when x comes to -1 from the left side must be equal to the lim of the function when x comes to -1 from the right side. Make that equality and you'll get value for a...be careful at that first function, you'll get 0/0 if you plug in x=-1immediately, so, to avoid that, use a little bit of algebra knowledge and you'll get value for lim
anonymous
  • anonymous
can you give me a step by step way to solve it please?
nenadmatematika
  • nenadmatematika
ok wait a minute

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nenadmatematika
  • nenadmatematika
you can write down the first function like this:\[(x+1)(2x^2-x+8)/(x+1)=2x^2-x+8\] now if you plug in x=-1 you'll get: \[2*1+1+8=11\] that's the limit as x approaches -1 from the left side...now if you plug in x=-1 into the other function you'll get -3+a....so you must say 11=-3+a and a=14
anonymous
  • anonymous
perfect thank you!
nenadmatematika
  • nenadmatematika
you're welcome :D

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