JEE 2020 Mathematics : Limits, Continuity & Differentiability

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Question 1

The limiting value of the function at x = π / 4  is

• A
• B
• C
• D

Question 2

Let [x] denote the greatest integer less than or equal to x. Then :
:

• A
• B
• Cequals 0
• Ddoes not exist

Question 3

The value of for which is continuous.

• A
• B
• C
• D

Question 4

Let f : R →R be a funciton such that , f(0) =0 and Then

• A is differentiable in R
• Bf(x) is continous but not differentiable in R
• Cf(x) is continuous in R
• DNone of these

Question 5

If , then f(x) is

• Acontinuous at π/2
• B exists, but not continuous at
• C does not exist
• D

Question 6

Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then is equal to

• A
• B
• C
• D

Question 7

f(x)=, if the function is continuous find j

• A
• B3
• C
• D1

Question 8

f(x)=, if the function is continuous find j

• A0
• B3
• C2
• DNone

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