Limits, Continuity and Differentiability Part 2

Section: Mathematics

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Question : 68 of 100

Marks: +1, -0

Let f:R→R be defined as

f(x)={

λ|x2−5x+6|

µ(5x−x2−6)

,

x<2

e

tan(x−2)

x−[x]

,

x>2

µ,

x=2

where [x] is the greatest integer less than or equal to x. If f is continuous at x=2, then λ+µ is equal to:

[25 Jul 2021 Shift 1]

e(−e+1)
e(e−2)
1
2e−1

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