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Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Test  >  GATE Computer Science Engineering(CSE) 2027 Mock Test Series  >  Test: Engineering Mathematics- 4 - Computer Science Engineering (CSE) MCQ

GATE Computer Science Engineering(CSE) 2027 Test: Engineering Mathematics-


MCQ Practice Test & Solutions: Test: Engineering Mathematics- 4 (10 Questions)

You can prepare effectively for Computer Science Engineering (CSE) GATE Computer Science Engineering(CSE) 2027 Mock Test Series with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Engineering Mathematics- 4". These 10 questions have been designed by the experts with the latest curriculum of Computer Science Engineering (CSE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Engineering Mathematics- 4 - Question 1
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Find 

Detailed Solution: 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
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If f(x) is continuous at x = 0 where

then what is the value of k?

Detailed Solution: 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
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If f(x) is continuous at x = 0 where

then what is the value of k?

Detailed Solution: 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
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The value of   will be ______


Detailed Solution: Question 4


= 1

Test: Engineering Mathematics- 4 - Question 5
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The value of 

Detailed Solution: Question 5

Test: Engineering Mathematics- 4 - Question 6
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The value of 

Detailed Solution: 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
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If  Find ln p


Detailed Solution: Question 7

Concept:

Test: Engineering Mathematics- 4 - Question 8
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Find the value for 

Detailed Solution: Question 8


Alternate method: Using L Hospital’s

Test: Engineering Mathematics- 4 - Question 9
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What is the value of f(x) = 

Detailed Solution: Question 9

Test: Engineering Mathematics- 4 - Question 10
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Find the value of 

Detailed Solution: Question 10



Substituting x = ∞

It is of the form 1∞

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About this Computer Science Engineering (CSE) Practice Test

This test contains 10 MCQs on Engineering Mathematics- 4 with detailed solutions for each question. It is part of the GATE Computer Science Engineering(CSE) 2027 Mock Test Series course on EduRev, designed to align with the current Computer Science Engineering (CSE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this Engineering Mathematics- 4 MCQ Test helpful, you can further enhance your Computer Science Engineering (CSE) preparation with in-depth courses on EduRev, for all the subjects and topics available in GATE Computer Science Engineering(CSE) 2027 Mock Test Series course. The course offers:
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