Evaluate the following limits. a) \lim_{x\to\frac{3}{8}^+}\frac{20x}{3-8x

Tomasettiq3

Tomasettiq3

Answered question

2021-11-16

Evaluate the following limits.
a) limx38+20x38x
b) limx3820x38x

Answer & Explanation

tnie54

tnie54

Beginner2021-11-17Added 18 answers

The given limits are:
a) limx38+20x38x
as we know that limxa+f(x)=limh0f(a+h)
therefore,
limx38+20x38x=limh020(38+h)38(38+h)
=limh020(38+h)38×388h
=limh020(38+h)338h
=limh020(38+h)8h
=limh020(38+h)h
=18limh020(38+h)h
=18×20(38+0)0
=18×1520
=18×
=
James Obrien

James Obrien

Beginner2021-11-18Added 16 answers

b) limx3820x38x
as we know that limxaf(x)=limh0f(ah)
therefore,
limx3820x38x=limh020(38h)38(38h)
=limh020(38h)38×38+8h
=limh020(38h)33+8h
=limh020(38h)8h
=limh020(38h)h
=18limh020(38h)h
=18×20(380)0
=18×1520
=18×
=

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