I am having a hard time finding the next step on this.
Can someone tell me what is the next step and explain to me
in non-mathematical terms what I am supposed to do when I reach
this examples at this place ?
limn→∞(n+3n+1)2n=limn→∞(n+1+2n+1)2n=limn→∞(1+2n+1)2n=limn→∞(1+2n+1)?
Answer
limn→∞(n+3n+1)2n=limn→∞(n⋅(1+3n)n⋅(1+1n))2n=limn→∞((1+3n)(1+1n))2n=limn→∞((1+3n)n)2((1+1n)n)2=
=(e3)2(e1)2=e6e2=e6−2=e4.
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