Lim x sinx/(e^x+e^-x+2) X tends to 0 - Maths -

Question

Lim x sinx/(e^x+e^-x+2)
X tends to 0

Vijay Kumar Gupta · Accepted Answer

Dear Student,

Consider the following limit,           limx→0x sinxex+e-x+2Note that, the denominator ex+e-x+2 is finite at x=0Therefore we can put the limit directly,   limx→0x sinxex+e-x+2=0×sin0e0+e-0+2                                    =0×sin0e0+e-0+2                                    =0×11+1+2                                    =04                                    =0

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Lim x.sinx/(e^x+e^-x+2) X tends to 0

Lim x.sinx/(e^x+e^-x+2)
X tends to 0