Description
Hello everyone, I have a final exam and i have 3 calculus problems I'm stuck with now. Plesae I need some help with them.
Explanation & Answer
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Please view explanation and answer below.
𝑒 4𝑥 − 1
𝑥→0
3𝑥
(1) lim
𝑆𝑡𝑒𝑝1: 𝑤𝑒 𝑓𝑖𝑟𝑠𝑡 𝑜𝑓 𝑎𝑙𝑙 𝑠𝑢𝑏𝑠𝑡𝑖𝑡𝑢𝑡𝑒 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑙𝑦
𝑒 4𝑥 − 1
𝑒 4(0) − 1
0
(𝐼𝑛det𝑒𝑟min𝑎𝑡𝑒)
lim
=
=
𝑥→0
3𝑥
3(0)
0
𝑆𝑡𝑒𝑝2: 𝑊𝑒 𝑎𝑝𝑝𝑙𝑦 𝐿′ℎ𝑜𝑝𝑖𝑡𝑎𝑙′𝑠 𝑟𝑢𝑙𝑒 𝑏𝑒𝑐𝑎�...
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