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Test: Engineering Mathematics- 4 - Computer Science Engineering (CSE) MCQ


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10 Questions MCQ Test - Test: Engineering Mathematics- 4

Test: Engineering Mathematics- 4 for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Test: Engineering Mathematics- 4 questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Engineering Mathematics- 4 MCQs are made for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Engineering Mathematics- 4 below.
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Test: Engineering Mathematics- 4 - Question 1

Find 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 1



Since the limit from the left does not equal to the limit from the right. So limit does not exist.

Test: Engineering Mathematics- 4 - Question 2

If f(x) is continuous at x = 0 where

then what is the value of k?

Detailed Solution for Test: Engineering Mathematics- 4 - Question 2

Since given function is continuous at x = 0


Alternate method:

0/0 form using L Hospital’s

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Test: Engineering Mathematics- 4 - Question 3

If f(x) is continuous at x = 0 where

then what is the value of k?

Detailed Solution for Test: Engineering Mathematics- 4 - Question 3

f(x) is continuous at x = 0


 

By definition of logarithm

k ≠ -4

∴ k = 4

Alternate method using L Hospital's

 

2logk = log (16)

2logk = 2log (4)

∴ k = 4

*Answer can only contain numeric values
Test: Engineering Mathematics- 4 - Question 4

The value of   will be ______


Detailed Solution for Test: Engineering Mathematics- 4 - Question 4


= 1

Test: Engineering Mathematics- 4 - Question 5

 

The value of 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 5

Test: Engineering Mathematics- 4 - Question 6

 

The value of 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 6


 

Applying L-Hospital Rule

Since the limit is of the form 0/0

Therefore, 

*Answer can only contain numeric values
Test: Engineering Mathematics- 4 - Question 7

If  Find ln p


Detailed Solution for Test: Engineering Mathematics- 4 - Question 7

Concept:

Test: Engineering Mathematics- 4 - Question 8

Find the value for 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 8


Alternate method: Using L Hospital’s

Test: Engineering Mathematics- 4 - Question 9

What is the value of f(x) = 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 9

Test: Engineering Mathematics- 4 - Question 10

 

Find the value of 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 10



Substituting x = ∞

It is of the form 1

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