[SOLVED] Calculus – Homework 3

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Programming resource
Digital learning resource
Category:
✓ Practical programming resource
✓ Suitable for guided study and reference
✓ Tutor guidance available when needed

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Problem 1

  1. Compute the following limit lim . (
  2. Find the asymptotes of the graph .

Problem 2

 

Find the limit of the following functions using ”Squeeze Law”.

  1. ) where n ∈N\{0}

Problem 3

 

Show that the equation

cos(x) = ex + x + 2

has at least one solution over R.

Hint : Intermediate value theorem.

Bonus: Prove that the function

f(x) = ex + x + 2

has only one root

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